Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 70, 72, 64, 128 i.e. 40320 smallest integer divisible by all numbers.
Least common multiple (LCM) of 70, 72, 64, 128 is 40320.
LCM(70, 72, 64, 128) = 40320
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 70, 72, 64, 128 |
2 | 35, 36, 32, 64 |
2 | 35, 18, 16, 32 |
2 | 35, 9, 8, 16 |
2 | 35, 9, 4, 8 |
2 | 35, 9, 2, 4 |
35, 9, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 35 x 9 x 1 x 2 = 40320
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 70,72,64,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,72,64,128) = 2
common factors(in case of two or more numbers have common factors) = 512
GCF(70,72,64,128) x common factors =2 x 512 = 1024
LCM(70,72,64,128) = ( 70 × 72 × 64 × 128 ) / 1024
LCM(70,72,64,128) = 41287680 / 1024
LCM(70,72,64,128) = 40320
∴ Least Common Multiple of 70,72,64,128 is 40320
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 70, 72, 64, 128?
Answer: LCM of 70, 72, 64, 128 is 40320.
2. What are the Factors of 40320?
Answer: Factors of 40320 are . There are integers that are factors of 40320
3. How to Find the LCM of 70, 72, 64, 128 ?
Least Common Multiple of 70, 72, 64, 128.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(70, 72, 64, 128) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 40320.