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 51, 69, 34, 60 i.e. 23460 smallest integer divisible by all numbers.
Least common multiple (LCM) of 51, 69, 34, 60 is 23460.
LCM(51, 69, 34, 60) = 23460
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 51, 69, 34, 60 |
3 | 51, 69, 17, 30 |
17 | 17, 23, 17, 10 |
1, 23, 1, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 23 x 1 x 10 = 23460
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 51,69,34,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,69,34,60) = 1
common factors(in case of two or more numbers have common factors) = 306
GCF(51,69,34,60) x common factors =1 x 306 = 306
LCM(51,69,34,60) = ( 51 × 69 × 34 × 60 ) / 306
LCM(51,69,34,60) = 7178760 / 306
LCM(51,69,34,60) = 23460
∴ Least Common Multiple of 51,69,34,60 is 23460
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 51, 69, 34, 60?
Answer: LCM of 51, 69, 34, 60 is 23460.
2. What are the Factors of 23460?
Answer: Factors of 23460 are . There are integers that are factors of 23460
3. How to Find the LCM of 51, 69, 34, 60 ?
Least Common Multiple of 51, 69, 34, 60.
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(51, 69, 34, 60) = 2 x 2 x 3 x 5 x 17 x 23 = 23460.