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, 517, 900, 834, 608 i.e. 422726911200 smallest integer divisible by all numbers.
Least common multiple (LCM) of 688, 517, 900, 834, 608 is 422726911200.
LCM(688, 517, 900, 834, 608) = 422726911200
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 688, 517, 900, 834, 608 |
2 | 344, 517, 450, 417, 304 |
2 | 172, 517, 225, 417, 152 |
2 | 86, 517, 225, 417, 76 |
3 | 43, 517, 225, 417, 38 |
43, 517, 75, 139, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 43 x 517 x 75 x 139 x 38 = 422726911200
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 688,517,900,834,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,517,900,834,608) = 1
common factors(in case of two or more numbers have common factors) = 384
GCF(688,517,900,834,608) x common factors =1 x 384 = 384
LCM(688,517,900,834,608) = ( 688 × 517 × 900 × 834 × 608 ) / 384
LCM(688,517,900,834,608) = 162327133900800 / 384
LCM(688,517,900,834,608) = 422726911200
∴ Least Common Multiple of 688,517,900,834,608 is 422726911200
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 517, 900, 834, 608?
Answer: LCM of 688, 517, 900, 834, 608 is 422726911200.
2. What are the Factors of 422726911200?
Answer: Factors of 422726911200 are . There are integers that are factors of 422726911200
3. How to Find the LCM of 688, 517, 900, 834, 608 ?
Least Common Multiple of 688, 517, 900, 834, 608.
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, 517, 900, 834, 608) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 19 x 43 x 47 x 139 = 422726911200.