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 44, 23, 77, 60, 44 i.e. 106260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 44, 23, 77, 60, 44 is 106260.
LCM(44, 23, 77, 60, 44) = 106260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 44, 23, 77, 60, 44 |
2 | 22, 23, 77, 30, 22 |
11 | 11, 23, 77, 15, 11 |
1, 23, 7, 15, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 23 x 7 x 15 x 1 = 106260
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 44,23,77,60,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,23,77,60,44) = 1
common factors(in case of two or more numbers have common factors) = 1936
GCF(44,23,77,60,44) x common factors =1 x 1936 = 1936
LCM(44,23,77,60,44) = ( 44 × 23 × 77 × 60 × 44 ) / 1936
LCM(44,23,77,60,44) = 205719360 / 1936
LCM(44,23,77,60,44) = 106260
∴ Least Common Multiple of 44,23,77,60,44 is 106260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 44, 23, 77, 60, 44?
Answer: LCM of 44, 23, 77, 60, 44 is 106260.
2. What are the Factors of 106260?
Answer: Factors of 106260 are . There are integers that are factors of 106260
3. How to Find the LCM of 44, 23, 77, 60, 44 ?
Least Common Multiple of 44, 23, 77, 60, 44.
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(44, 23, 77, 60, 44) = 2 x 2 x 3 x 5 x 7 x 11 x 23 = 106260.