Least Common Multiple of 4937/748, 9774/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4937/748, 9774/514 quickly i.e. 24127119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4937/748, 9774/514 is 24127119.

LCM(4937/748, 9774/514) = 24127119

LCM of 4937/748, 9774/514

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 4937/748,9774/514

Given numbers are 4937/748,9774/514

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 4937,9774

Least Common Multiple of Numerators i.e. LCM of 4937,9774 is 48254238.

GCF of Denominators means GCF of 748,514 as per the given fractions.

GCF of 748,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4937,9774

LCM of Fractions 4937/748,9774/514 is 24127119

Given numbers has no common factors except 1. So, there LCM is their product i.e 48254238

Least Common Multiple of 4937,9774 with GCF Formula

Least Common Multiple of 4937,9774 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 4937,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4937,9774) = 1

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

GCF(4937,9774) x common factors =1 x 1 = 1

LCM(4937,9774) = ( 4937 × 9774 ) / 1

LCM(4937,9774) = 48254238 / 1

LCM(4937,9774) = 48254238


Lets's calculate GCF of 748,514

2 748, 514
374, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48254238/2

Therefore the LCM of Fractions 4937/748,9774/514 is 24127119

Greatest Common Factor of 748,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,514 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

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 748,514 . The biggest common factor number is the GCF number.
So the greatest common factor 748,514 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 4937/748, 9774/514

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 4937/748, 9774/514?

Answer: LCM of Numerators as per given numbers 4937/748, 9774/514 is

LCM of Numerators i.e. for 4937,9774 is 48254238

GCF of denominators i.e. for 748,514 is 2.

Thus, LCM of Fractions is 24127119.Finally, LCM of Fractions for 4937/748, 9774/514 is 24127119.