Least Common Multiple of 4126/516, 7654/7783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4126/516, 7654/7783 quickly i.e. 367214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4126/516, 7654/7783 is 367214.

LCM(4126/516, 7654/7783) = 367214

LCM of 4126/516, 7654/7783

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 4126/516,7654/7783

Given numbers are 4126/516,7654/7783

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 4126,7654

Least Common Multiple of Numerators i.e. LCM of 4126,7654 is 15790202.

GCF of Denominators means GCF of 516,7783 as per the given fractions.

GCF of 516,7783 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4126,7654

LCM of Fractions 4126/516,7654/7783 is 367214

2 4126, 7654
2063, 3827

∴ So the LCM of the given numbers is 2 x 2063 x 3827 = 15790202

Least Common Multiple of 4126,7654 with GCF Formula

Least Common Multiple of 4126,7654 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 4126,7654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4126,7654) = 2

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

GCF(4126,7654) x common factors =2 x 1 = 2

LCM(4126,7654) = ( 4126 × 7654 ) / 2

LCM(4126,7654) = 31580404 / 2

LCM(4126,7654) = 15790202


Lets's calculate GCF of 516,7783

43 516, 7783
12, 181

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15790202/43

Therefore the LCM of Fractions 4126/516,7654/7783 is 367214

Greatest Common Factor of 516,7783 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,7783 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 7783

List of positive integer factors of 7783 that divides 7783 without a remainder.

1,43,181,7783

Greatest Common Factor

We found the factors 516,7783 . The biggest common factor number is the GCF number.
So the greatest common factor 516,7783 is 43.


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 4126/516, 7654/7783

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 4126/516, 7654/7783?

Answer: LCM of Numerators as per given numbers 4126/516, 7654/7783 is

LCM of Numerators i.e. for 4126,7654 is 15790202

GCF of denominators i.e. for 516,7783 is 43.

Thus, LCM of Fractions is 367214.Finally, LCM of Fractions for 4126/516, 7654/7783 is 367214.