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 167, 261, 963, 828, 144 i.e. 1716281712 smallest integer divisible by all numbers.
Least common multiple (LCM) of 167, 261, 963, 828, 144 is 1716281712.
LCM(167, 261, 963, 828, 144) = 1716281712
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 167, 261, 963, 828, 144 |
2 | 167, 261, 963, 414, 72 |
3 | 167, 261, 963, 207, 36 |
3 | 167, 87, 321, 69, 12 |
167, 29, 107, 23, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 167 x 29 x 107 x 23 x 4 = 1716281712
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 167,261,963,828,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,261,963,828,144) = 1
common factors(in case of two or more numbers have common factors) = 2916
GCF(167,261,963,828,144) x common factors =1 x 2916 = 2916
LCM(167,261,963,828,144) = ( 167 × 261 × 963 × 828 × 144 ) / 2916
LCM(167,261,963,828,144) = 5004677472192 / 2916
LCM(167,261,963,828,144) = 1716281712
∴ Least Common Multiple of 167,261,963,828,144 is 1716281712
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 261, 963, 828, 144?
Answer: LCM of 167, 261, 963, 828, 144 is 1716281712.
2. What are the Factors of 1716281712?
Answer: Factors of 1716281712 are . There are integers that are factors of 1716281712
3. How to Find the LCM of 167, 261, 963, 828, 144 ?
Least Common Multiple of 167, 261, 963, 828, 144.
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(167, 261, 963, 828, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 29 x 107 x 167 = 1716281712.