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 468, 290, 377, 407, 169 i.e. 359047260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 468, 290, 377, 407, 169 is 359047260.
LCM(468, 290, 377, 407, 169) = 359047260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 468, 290, 377, 407, 169 |
13 | 234, 145, 377, 407, 169 |
29 | 18, 145, 29, 407, 13 |
18, 5, 1, 407, 13 |
∴ So the LCM of the given numbers is 2 x 13 x 29 x 18 x 5 x 1 x 407 x 13 = 359047260
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 468,290,377,407,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,290,377,407,169) = 1
common factors(in case of two or more numbers have common factors) = 9802
GCF(468,290,377,407,169) x common factors =1 x 9802 = 9802
LCM(468,290,377,407,169) = ( 468 × 290 × 377 × 407 × 169 ) / 9802
LCM(468,290,377,407,169) = 3519381242520 / 9802
LCM(468,290,377,407,169) = 359047260
∴ Least Common Multiple of 468,290,377,407,169 is 359047260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 290, 377, 407, 169?
Answer: LCM of 468, 290, 377, 407, 169 is 359047260.
2. What are the Factors of 359047260?
Answer: Factors of 359047260 are . There are integers that are factors of 359047260
3. How to Find the LCM of 468, 290, 377, 407, 169 ?
Least Common Multiple of 468, 290, 377, 407, 169.
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(468, 290, 377, 407, 169) = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 13 x 29 x 37 = 359047260.