Least Common Multiple of 297/31, 9858/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 297/31, 9858/873 quickly i.e. 975942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/31, 9858/873 is 975942.

LCM(297/31, 9858/873) = 975942

LCM of 297/31, 9858/873

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 297/31,9858/873

Given numbers are 297/31,9858/873

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 297,9858

Least Common Multiple of Numerators i.e. LCM of 297,9858 is 975942.

GCF of Denominators means GCF of 31,873 as per the given fractions.

GCF of 31,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,9858

LCM of Fractions 297/31,9858/873 is 975942

3 297, 9858
99, 3286

∴ So the LCM of the given numbers is 3 x 99 x 3286 = 975942

Least Common Multiple of 297,9858 with GCF Formula

Least Common Multiple of 297,9858 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 297,9858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,9858) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(297,9858) x common factors =3 x 1 = 3

LCM(297,9858) = ( 297 × 9858 ) / 3

LCM(297,9858) = 2927826 / 3

LCM(297,9858) = 975942


Lets's calculate GCF of 31,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 975942/1

Therefore the LCM of Fractions 297/31,9858/873 is 975942

Greatest Common Factor of 31,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,873 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 31,873 . The biggest common factor number is the GCF number.
So the greatest common factor 31,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 297/31, 9858/873

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 297/31, 9858/873?

Answer: LCM of Numerators as per given numbers 297/31, 9858/873 is

LCM of Numerators i.e. for 297,9858 is 975942

GCF of denominators i.e. for 31,873 is 1.

Thus, LCM of Fractions is 975942.Finally, LCM of Fractions for 297/31, 9858/873 is 975942.