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 714, 132, 311, 707, 196 i.e. 3453827916 smallest integer divisible by all numbers.
Least common multiple (LCM) of 714, 132, 311, 707, 196 is 3453827916.
LCM(714, 132, 311, 707, 196) = 3453827916
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 714, 132, 311, 707, 196 |
2 | 357, 66, 311, 707, 98 |
3 | 357, 33, 311, 707, 49 |
7 | 119, 11, 311, 707, 49 |
17, 11, 311, 101, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 11 x 311 x 101 x 7 = 3453827916
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 714,132,311,707,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,132,311,707,196) = 1
common factors(in case of two or more numbers have common factors) = 1176
GCF(714,132,311,707,196) x common factors =1 x 1176 = 1176
LCM(714,132,311,707,196) = ( 714 × 132 × 311 × 707 × 196 ) / 1176
LCM(714,132,311,707,196) = 4061701629216 / 1176
LCM(714,132,311,707,196) = 3453827916
∴ Least Common Multiple of 714,132,311,707,196 is 3453827916
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 132, 311, 707, 196?
Answer: LCM of 714, 132, 311, 707, 196 is 3453827916.
2. What are the Factors of 3453827916?
Answer: Factors of 3453827916 are . There are integers that are factors of 3453827916
3. How to Find the LCM of 714, 132, 311, 707, 196 ?
Least Common Multiple of 714, 132, 311, 707, 196.
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(714, 132, 311, 707, 196) = 2 x 2 x 3 x 7 x 7 x 11 x 17 x 101 x 311 = 3453827916.