Least Common Multiple of 98/574, 4780/7716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/574, 4780/7716 quickly i.e. 117110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/574, 4780/7716 is 117110.

LCM(98/574, 4780/7716) = 117110

LCM of 98/574, 4780/7716

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 98/574,4780/7716

Given numbers are 98/574,4780/7716

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 98,4780

Least Common Multiple of Numerators i.e. LCM of 98,4780 is 234220.

GCF of Denominators means GCF of 574,7716 as per the given fractions.

GCF of 574,7716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,4780

LCM of Fractions 98/574,4780/7716 is 117110

2 98, 4780
49, 2390

∴ So the LCM of the given numbers is 2 x 49 x 2390 = 234220

Least Common Multiple of 98,4780 with GCF Formula

Least Common Multiple of 98,4780 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 98,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,4780) = 2

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

GCF(98,4780) x common factors =2 x 1 = 2

LCM(98,4780) = ( 98 × 4780 ) / 2

LCM(98,4780) = 468440 / 2

LCM(98,4780) = 234220


Lets's calculate GCF of 574,7716

2 574, 7716
287, 3858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234220/2

Therefore the LCM of Fractions 98/574,4780/7716 is 117110

Greatest Common Factor of 574,7716 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,7716 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors 574,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 574,7716 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 98/574, 4780/7716

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 98/574, 4780/7716?

Answer: LCM of Numerators as per given numbers 98/574, 4780/7716 is

LCM of Numerators i.e. for 98,4780 is 234220

GCF of denominators i.e. for 574,7716 is 2.

Thus, LCM of Fractions is 117110.Finally, LCM of Fractions for 98/574, 4780/7716 is 117110.