Least Common Multiple of 98/317, 871/832, 742/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/317, 871/832, 742/776 quickly i.e. 4523974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/317, 871/832, 742/776 is 4523974.

LCM(98/317, 871/832, 742/776) = 4523974

LCM of 98/317, 871/832, 742/776

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 98/317,871/832,742/776

Given numbers are 98/317,871/832,742/776

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 98,871,742

Least Common Multiple of Numerators i.e. LCM of 98,871,742 is 4523974.

GCF of Denominators means GCF of 317,832,776 as per the given fractions.

GCF of 317,832,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,871,742

LCM of Fractions 98/317,871/832,742/776 is 4523974

2 98, 871, 742
7 49, 871, 371
7, 871, 53

∴ So the LCM of the given numbers is 2 x 7 x 7 x 871 x 53 = 4523974

Least Common Multiple of 98,871,742 with GCF Formula

Least Common Multiple of 98,871,742 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 98,871,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,871,742) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(98,871,742) x common factors =1 x 14 = 14

LCM(98,871,742) = ( 98 × 871 × 742 ) / 14

LCM(98,871,742) = 63335636 / 14

LCM(98,871,742) = 4523974


Lets's calculate GCF of 317,832,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4523974/1

Therefore the LCM of Fractions 98/317,871/832,742/776 is 4523974

Greatest Common Factor of 317,832,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,832,776 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 317,832,776 . The biggest common factor number is the GCF number.
So the greatest common factor 317,832,776 is 1.


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 98/317, 871/832, 742/776

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 98/317, 871/832, 742/776?

Answer: LCM of Numerators as per given numbers 98/317, 871/832, 742/776 is

LCM of Numerators i.e. for 98,871,742 is 4523974

GCF of denominators i.e. for 317,832,776 is 1.

Thus, LCM of Fractions is 4523974.Finally, LCM of Fractions for 98/317, 871/832, 742/776 is 4523974.