Least Common Multiple of 86/907, 6942/2743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/907, 6942/2743 quickly i.e. 298506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/907, 6942/2743 is 298506.

LCM(86/907, 6942/2743) = 298506

LCM of 86/907, 6942/2743

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 86/907,6942/2743

Given numbers are 86/907,6942/2743

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 86,6942

Least Common Multiple of Numerators i.e. LCM of 86,6942 is 298506.

GCF of Denominators means GCF of 907,2743 as per the given fractions.

GCF of 907,2743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,6942

LCM of Fractions 86/907,6942/2743 is 298506

2 86, 6942
43, 3471

∴ So the LCM of the given numbers is 2 x 43 x 3471 = 298506

Least Common Multiple of 86,6942 with GCF Formula

Least Common Multiple of 86,6942 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 86,6942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,6942) = 2

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

GCF(86,6942) x common factors =2 x 1 = 2

LCM(86,6942) = ( 86 × 6942 ) / 2

LCM(86,6942) = 597012 / 2

LCM(86,6942) = 298506


Lets's calculate GCF of 907,2743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298506/1

Therefore the LCM of Fractions 86/907,6942/2743 is 298506

Greatest Common Factor of 907,2743 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,2743 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 2743

List of positive integer factors of 2743 that divides 2743 without a remainder.

1,13,211,2743

Greatest Common Factor

We found the factors 907,2743 . The biggest common factor number is the GCF number.
So the greatest common factor 907,2743 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 86/907, 6942/2743

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 86/907, 6942/2743?

Answer: LCM of Numerators as per given numbers 86/907, 6942/2743 is

LCM of Numerators i.e. for 86,6942 is 298506

GCF of denominators i.e. for 907,2743 is 1.

Thus, LCM of Fractions is 298506.Finally, LCM of Fractions for 86/907, 6942/2743 is 298506.