Least Common Multiple of 4076/714, 5842/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4076/714, 5842/514 quickly i.e. 5952998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4076/714, 5842/514 is 5952998.

LCM(4076/714, 5842/514) = 5952998

LCM of 4076/714, 5842/514

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 4076/714,5842/514

Given numbers are 4076/714,5842/514

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 4076,5842

Least Common Multiple of Numerators i.e. LCM of 4076,5842 is 11905996.

GCF of Denominators means GCF of 714,514 as per the given fractions.

GCF of 714,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4076,5842

LCM of Fractions 4076/714,5842/514 is 5952998

2 4076, 5842
2038, 2921

∴ So the LCM of the given numbers is 2 x 2038 x 2921 = 11905996

Least Common Multiple of 4076,5842 with GCF Formula

Least Common Multiple of 4076,5842 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 4076,5842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4076,5842) = 2

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

GCF(4076,5842) x common factors =2 x 1 = 2

LCM(4076,5842) = ( 4076 × 5842 ) / 2

LCM(4076,5842) = 23811992 / 2

LCM(4076,5842) = 11905996


Lets's calculate GCF of 714,514

2 714, 514
357, 257

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11905996/2

Therefore the LCM of Fractions 4076/714,5842/514 is 5952998

Greatest Common Factor of 714,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,514 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 714,514 . The biggest common factor number is the GCF number.
So the greatest common factor 714,514 is 2.


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 4076/714, 5842/514

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 4076/714, 5842/514?

Answer: LCM of Numerators as per given numbers 4076/714, 5842/514 is

LCM of Numerators i.e. for 4076,5842 is 11905996

GCF of denominators i.e. for 714,514 is 2.

Thus, LCM of Fractions is 5952998.Finally, LCM of Fractions for 4076/714, 5842/514 is 5952998.