maths....(mathematics..)

posted by .

by prime factorisation method find the least positive number divisible by 700 and 364

  • maths....(mathematics..) -

    First you have to prime factorize both numbers. The greatest common divisor(GCD) has the
    lower number of prime factors that appear in both lists.

    2 appears twice and 7 appears once on both lists 5,7 and 13 appear on one list only, so they and not "common" factors and do not appear in the GCD

    364 = 91*4 = 2^2 * 7 * 13
    700 = 2^2 * 5^2 * 7

    GCD = 2^2 * 7 = 28

  • maths....(mathematics..) -

    700 = 7x2x2x5x5
    364 = 2x2x91

    HCM = 7x2x2x5x5x91 = 63700

  • correction - maths....(mathematics..) -

    I assumed 91 was prime, ...

    700 = 7x2x2x5x5
    364 = 2x2x7x13

    LCM = 7x2x2x2x2x13 = 9100

  • maths....(mathematics..) -

    I read the problem incorrectly

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. IB HL Math

    I need to that if there is better way to prove the following: I am trying to prove that x r = k and k is a multiple of x only when x is prime. I said that if x is non-prime, then: Let a = 6 Let r = 4 6! (6 – 4)! 4! = 3(2) x 5 x 4! …
  2. Math

    The question is this: You know that a number is divisible by 6 if it is divisible by both 3 and 2. So why isn't a number divisible by 8 if it is divisible by both 4 and 2?
  3. math

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100?
  4. MATH

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100?
  5. math

    How do the ideas of divisibility and multiples relate to the study of fractions?
  6. mathematics

    by prime factorisation method find the least positive number divisible by 700 and 364
  7. Maths

    Find the least positive whole number n for which 582416035 / n is exactly divisible by 11
  8. Maths

    What is the HCF / GCF of 120, 180 and 190 in prime factorisation method
  9. Maths

    What is the HCF / GCF of 120, 180 and 190 in prime factorisation method
  10. Maths

    What is the HCF / GCF of 120, 180 and 190 in prime factorisation method

More Similar Questions