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 688, 748, 504, 232 i.e. 235054512 smallest integer divisible by all numbers.
Least common multiple (LCM) of 688, 748, 504, 232 is 235054512.
LCM(688, 748, 504, 232) = 235054512
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 688, 748, 504, 232 |
2 | 344, 374, 252, 116 |
2 | 172, 187, 126, 58 |
86, 187, 63, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 187 x 63 x 29 = 235054512
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 688,748,504,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,748,504,232) = 4
common factors(in case of two or more numbers have common factors) = 64
GCF(688,748,504,232) x common factors =4 x 64 = 256
LCM(688,748,504,232) = ( 688 × 748 × 504 × 232 ) / 256
LCM(688,748,504,232) = 60173955072 / 256
LCM(688,748,504,232) = 235054512
∴ Least Common Multiple of 688,748,504,232 is 235054512
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 748, 504, 232?
Answer: LCM of 688, 748, 504, 232 is 235054512.
2. What are the Factors of 235054512?
Answer: Factors of 235054512 are . There are integers that are factors of 235054512
3. How to Find the LCM of 688, 748, 504, 232 ?
Least Common Multiple of 688, 748, 504, 232.
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(688, 748, 504, 232) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 29 x 43 = 235054512.