Least Common Multiple of 711/86, 948/3759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/86, 948/3759 quickly i.e. 2844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/86, 948/3759 is 2844.

LCM(711/86, 948/3759) = 2844

LCM of 711/86, 948/3759

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 711/86,948/3759

Given numbers are 711/86,948/3759

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 711,948

Least Common Multiple of Numerators i.e. LCM of 711,948 is 2844.

GCF of Denominators means GCF of 86,3759 as per the given fractions.

GCF of 86,3759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,948

LCM of Fractions 711/86,948/3759 is 2844

3 711, 948
79 237, 316
3, 4

∴ So the LCM of the given numbers is 3 x 79 x 3 x 4 = 2844

Least Common Multiple of 711,948 with GCF Formula

Least Common Multiple of 711,948 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 711,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,948) = 237

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

GCF(711,948) x common factors =237 x 1 = 237

LCM(711,948) = ( 711 × 948 ) / 237

LCM(711,948) = 674028 / 237

LCM(711,948) = 2844


Lets's calculate GCF of 86,3759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2844/1

Therefore the LCM of Fractions 711/86,948/3759 is 2844

Greatest Common Factor of 86,3759 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,3759 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1,3,7,21,179,537,1253,3759

Greatest Common Factor

We found the factors 86,3759 . The biggest common factor number is the GCF number.
So the greatest common factor 86,3759 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 711/86, 948/3759

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 711/86, 948/3759?

Answer: LCM of Numerators as per given numbers 711/86, 948/3759 is

LCM of Numerators i.e. for 711,948 is 2844

GCF of denominators i.e. for 86,3759 is 1.

Thus, LCM of Fractions is 2844.Finally, LCM of Fractions for 711/86, 948/3759 is 2844.