Least Common Multiple of 297/305, 510/313, 842/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/305, 510/313, 842/634 quickly i.e. 21256290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/305, 510/313, 842/634 is 21256290.

LCM(297/305, 510/313, 842/634) = 21256290

LCM of 297/305, 510/313, 842/634

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 297/305,510/313,842/634

Given numbers are 297/305,510/313,842/634

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 297,510,842

Least Common Multiple of Numerators i.e. LCM of 297,510,842 is 21256290.

GCF of Denominators means GCF of 305,313,634 as per the given fractions.

GCF of 305,313,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,510,842

LCM of Fractions 297/305,510/313,842/634 is 21256290

2 297, 510, 842
3 297, 255, 421
99, 85, 421

∴ So the LCM of the given numbers is 2 x 3 x 99 x 85 x 421 = 21256290

Least Common Multiple of 297,510,842 with GCF Formula

Least Common Multiple of 297,510,842 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 297,510,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,510,842) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(297,510,842) x common factors =1 x 6 = 6

LCM(297,510,842) = ( 297 × 510 × 842 ) / 6

LCM(297,510,842) = 127537740 / 6

LCM(297,510,842) = 21256290


Lets's calculate GCF of 305,313,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21256290/1

Therefore the LCM of Fractions 297/305,510/313,842/634 is 21256290

Greatest Common Factor of 305,313,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,313,634 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 305,313,634 . The biggest common factor number is the GCF number.
So the greatest common factor 305,313,634 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 297/305, 510/313, 842/634

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 297/305, 510/313, 842/634?

Answer: LCM of Numerators as per given numbers 297/305, 510/313, 842/634 is

LCM of Numerators i.e. for 297,510,842 is 21256290

GCF of denominators i.e. for 305,313,634 is 1.

Thus, LCM of Fractions is 21256290.Finally, LCM of Fractions for 297/305, 510/313, 842/634 is 21256290.