Least Common Multiple of 980/84, 840/2362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/84, 840/2362 quickly i.e. 2940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/84, 840/2362 is 2940.

LCM(980/84, 840/2362) = 2940

LCM of 980/84, 840/2362

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 980/84,840/2362

Given numbers are 980/84,840/2362

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 980,840

Least Common Multiple of Numerators i.e. LCM of 980,840 is 5880.

GCF of Denominators means GCF of 84,2362 as per the given fractions.

GCF of 84,2362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,840

LCM of Fractions 980/84,840/2362 is 2940

2 980, 840
2 490, 420
5 245, 210
7 49, 42
7, 6

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 7 x 6 = 5880

Least Common Multiple of 980,840 with GCF Formula

Least Common Multiple of 980,840 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 980,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,840) = 140

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

GCF(980,840) x common factors =140 x 1 = 140

LCM(980,840) = ( 980 × 840 ) / 140

LCM(980,840) = 823200 / 140

LCM(980,840) = 5880


Lets's calculate GCF of 84,2362

2 84, 2362
42, 1181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5880/2

Therefore the LCM of Fractions 980/84,840/2362 is 2940

Greatest Common Factor of 84,2362 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,2362 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 2362

List of positive integer factors of 2362 that divides 2362 without a remainder.

1,2,1181,2362

Greatest Common Factor

We found the factors 84,2362 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2362 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 980/84, 840/2362

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 980/84, 840/2362?

Answer: LCM of Numerators as per given numbers 980/84, 840/2362 is

LCM of Numerators i.e. for 980,840 is 5880

GCF of denominators i.e. for 84,2362 is 2.

Thus, LCM of Fractions is 2940.Finally, LCM of Fractions for 980/84, 840/2362 is 2940.