Least Common Multiple of 297/471, 858/718, 953/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/471, 858/718, 953/504 quickly i.e. 7359066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/471, 858/718, 953/504 is 7359066.

LCM(297/471, 858/718, 953/504) = 7359066

LCM of 297/471, 858/718, 953/504

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 297/471,858/718,953/504

Given numbers are 297/471,858/718,953/504

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 297,858,953

Least Common Multiple of Numerators i.e. LCM of 297,858,953 is 7359066.

GCF of Denominators means GCF of 471,718,504 as per the given fractions.

GCF of 471,718,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,858,953

LCM of Fractions 297/471,858/718,953/504 is 7359066

3 297, 858, 953
11 99, 286, 953
9, 26, 953

∴ So the LCM of the given numbers is 3 x 11 x 9 x 26 x 953 = 7359066

Least Common Multiple of 297,858,953 with GCF Formula

Least Common Multiple of 297,858,953 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 297,858,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,858,953) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(297,858,953) x common factors =1 x 33 = 33

LCM(297,858,953) = ( 297 × 858 × 953 ) / 33

LCM(297,858,953) = 242849178 / 33

LCM(297,858,953) = 7359066


Lets's calculate GCF of 471,718,504

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7359066/1

Therefore the LCM of Fractions 297/471,858/718,953/504 is 7359066

Greatest Common Factor of 471,718,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,718,504 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 471,718,504 . The biggest common factor number is the GCF number.
So the greatest common factor 471,718,504 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 297/471, 858/718, 953/504

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 297/471, 858/718, 953/504?

Answer: LCM of Numerators as per given numbers 297/471, 858/718, 953/504 is

LCM of Numerators i.e. for 297,858,953 is 7359066

GCF of denominators i.e. for 471,718,504 is 1.

Thus, LCM of Fractions is 7359066.Finally, LCM of Fractions for 297/471, 858/718, 953/504 is 7359066.