Least Common Multiple of 299, 702, 314, 475, 480

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 299, 702, 314, 475, 480 i.e. 19265407200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 299, 702, 314, 475, 480 is 19265407200.

LCM(299, 702, 314, 475, 480) = 19265407200

LCM of 299, 702, 314, 475, 480

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 299,702,314,475,480

Least Common Multiple (LCM) of 299,702,314,475,480 is 19265407200

2 299, 702, 314, 475, 480
3 299, 351, 157, 475, 240
5 299, 117, 157, 475, 80
13 299, 117, 157, 95, 16
23, 9, 157, 95, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 23 x 9 x 157 x 95 x 16 = 19265407200

Least Common Multiple of 299,702,314,475,480 with GCF Formula

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 299,702,314,475,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,702,314,475,480) = 1

common factors(in case of two or more numbers have common factors) = 780

GCF(299,702,314,475,480) x common factors =1 x 780 = 780

LCM(299,702,314,475,480) = ( 299 × 702 × 314 × 475 × 480 ) / 780

LCM(299,702,314,475,480) = 15027017616000 / 780

LCM(299,702,314,475,480) = 19265407200

∴ Least Common Multiple of 299,702,314,475,480 is 19265407200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 299, 702, 314, 475, 480

1. What is the LCM of 299, 702, 314, 475, 480?

Answer: LCM of 299, 702, 314, 475, 480 is 19265407200.

2. What are the Factors of 19265407200?

Answer: Factors of 19265407200 are . There are integers that are factors of 19265407200

3. How to Find the LCM of 299, 702, 314, 475, 480 ?

Least Common Multiple of 299, 702, 314, 475, 480.

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(299, 702, 314, 475, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 13 x 19 x 23 x 157 = 19265407200.