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 682, 408, 689, 532, 252 i.e. 38247817608 smallest integer divisible by all numbers.
Least common multiple (LCM) of 682, 408, 689, 532, 252 is 38247817608.
LCM(682, 408, 689, 532, 252) = 38247817608
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 682, 408, 689, 532, 252 |
2 | 341, 204, 689, 266, 126 |
3 | 341, 102, 689, 133, 63 |
7 | 341, 34, 689, 133, 21 |
341, 34, 689, 19, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 341 x 34 x 689 x 19 x 3 = 38247817608
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 682,408,689,532,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,408,689,532,252) = 1
common factors(in case of two or more numbers have common factors) = 672
GCF(682,408,689,532,252) x common factors =1 x 672 = 672
LCM(682,408,689,532,252) = ( 682 × 408 × 689 × 532 × 252 ) / 672
LCM(682,408,689,532,252) = 25702533432576 / 672
LCM(682,408,689,532,252) = 38247817608
∴ Least Common Multiple of 682,408,689,532,252 is 38247817608
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 408, 689, 532, 252?
Answer: LCM of 682, 408, 689, 532, 252 is 38247817608.
2. What are the Factors of 38247817608?
Answer: Factors of 38247817608 are . There are integers that are factors of 38247817608
3. How to Find the LCM of 682, 408, 689, 532, 252 ?
Least Common Multiple of 682, 408, 689, 532, 252.
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(682, 408, 689, 532, 252) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 x 17 x 19 x 31 x 53 = 38247817608.