Least Common Multiple of 980/776, 1098/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/776, 1098/829 quickly i.e. 538020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/776, 1098/829 is 538020.

LCM(980/776, 1098/829) = 538020

LCM of 980/776, 1098/829

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 980/776,1098/829

Given numbers are 980/776,1098/829

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 980,1098

Least Common Multiple of Numerators i.e. LCM of 980,1098 is 538020.

GCF of Denominators means GCF of 776,829 as per the given fractions.

GCF of 776,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,1098

LCM of Fractions 980/776,1098/829 is 538020

2 980, 1098
490, 549

∴ So the LCM of the given numbers is 2 x 490 x 549 = 538020

Least Common Multiple of 980,1098 with GCF Formula

Least Common Multiple of 980,1098 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 980,1098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,1098) = 2

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

GCF(980,1098) x common factors =2 x 1 = 2

LCM(980,1098) = ( 980 × 1098 ) / 2

LCM(980,1098) = 1076040 / 2

LCM(980,1098) = 538020


Lets's calculate GCF of 776,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538020/1

Therefore the LCM of Fractions 980/776,1098/829 is 538020

Greatest Common Factor of 776,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,829 By Matching Biggest Common Factor Method

Factors of 776

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

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

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 776,829 . The biggest common factor number is the GCF number.
So the greatest common factor 776,829 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 980/776, 1098/829

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 980/776, 1098/829?

Answer: LCM of Numerators as per given numbers 980/776, 1098/829 is

LCM of Numerators i.e. for 980,1098 is 538020

GCF of denominators i.e. for 776,829 is 1.

Thus, LCM of Fractions is 538020.Finally, LCM of Fractions for 980/776, 1098/829 is 538020.