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 969, 952, 745, 984 i.e. 1657493880 smallest integer divisible by all numbers.
Least common multiple (LCM) of 969, 952, 745, 984 is 1657493880.
LCM(969, 952, 745, 984) = 1657493880
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 969, 952, 745, 984 |
2 | 969, 476, 745, 492 |
2 | 969, 238, 745, 246 |
3 | 969, 119, 745, 123 |
17 | 323, 119, 745, 41 |
19, 7, 745, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 19 x 7 x 745 x 41 = 1657493880
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 969,952,745,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,952,745,984) = 1
common factors(in case of two or more numbers have common factors) = 408
GCF(969,952,745,984) x common factors =1 x 408 = 408
LCM(969,952,745,984) = ( 969 × 952 × 745 × 984 ) / 408
LCM(969,952,745,984) = 676257503040 / 408
LCM(969,952,745,984) = 1657493880
∴ Least Common Multiple of 969,952,745,984 is 1657493880
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 952, 745, 984?
Answer: LCM of 969, 952, 745, 984 is 1657493880.
2. What are the Factors of 1657493880?
Answer: Factors of 1657493880 are . There are integers that are factors of 1657493880
3. How to Find the LCM of 969, 952, 745, 984 ?
Least Common Multiple of 969, 952, 745, 984.
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(969, 952, 745, 984) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 19 x 41 x 149 = 1657493880.