Least Common Multiple of 71/740, 7013/2837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/740, 7013/2837 quickly i.e. 497923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/740, 7013/2837 is 497923.

LCM(71/740, 7013/2837) = 497923

LCM of 71/740, 7013/2837

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 71/740,7013/2837

Given numbers are 71/740,7013/2837

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 71,7013

Least Common Multiple of Numerators i.e. LCM of 71,7013 is 497923.

GCF of Denominators means GCF of 740,2837 as per the given fractions.

GCF of 740,2837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,7013

LCM of Fractions 71/740,7013/2837 is 497923

Given numbers has no common factors except 1. So, there LCM is their product i.e 497923

Least Common Multiple of 71,7013 with GCF Formula

Least Common Multiple of 71,7013 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 71,7013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,7013) = 1

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

GCF(71,7013) x common factors =1 x 1 = 1

LCM(71,7013) = ( 71 × 7013 ) / 1

LCM(71,7013) = 497923 / 1

LCM(71,7013) = 497923


Lets's calculate GCF of 740,2837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 497923/1

Therefore the LCM of Fractions 71/740,7013/2837 is 497923

Greatest Common Factor of 740,2837 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,2837 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 2837

List of positive integer factors of 2837 that divides 2837 without a remainder.

1,2837

Greatest Common Factor

We found the factors 740,2837 . The biggest common factor number is the GCF number.
So the greatest common factor 740,2837 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/740, 7013/2837

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 71/740, 7013/2837?

Answer: LCM of Numerators as per given numbers 71/740, 7013/2837 is

LCM of Numerators i.e. for 71,7013 is 497923

GCF of denominators i.e. for 740,2837 is 1.

Thus, LCM of Fractions is 497923.Finally, LCM of Fractions for 71/740, 7013/2837 is 497923.