What is the least number that is both a multiple of 35 and a multiple of 20?
What do you think, Lizzie/Rory?
Haha me and Rory r having a hard time of this we go to the same school
You're also using the same computer.
What are the first 6 multiples of 35?
To find the least number that is both a multiple of 35 and a multiple of 20, we need to find the least common multiple (LCM) of 35 and 20.
Step 1: Find the prime factors of each number.
Prime factorization of 35: 5 x 7
Prime factorization of 20: 2 x 2 x 5
Step 2: Write down the highest power of each factor.
Common factors: 2 x 2 x 5 x 7
Step 3: Multiply the common factors to find the LCM.
LCM = 2 x 2 x 5 x 7 = 140
Therefore, the least number that is both a multiple of 35 and a multiple of 20 is 140.