Least Common Multiple of 876/28, 980/2802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/28, 980/2802 quickly i.e. 107310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/28, 980/2802 is 107310.

LCM(876/28, 980/2802) = 107310

LCM of 876/28, 980/2802

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 876/28,980/2802

Given numbers are 876/28,980/2802

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 876,980

Least Common Multiple of Numerators i.e. LCM of 876,980 is 214620.

GCF of Denominators means GCF of 28,2802 as per the given fractions.

GCF of 28,2802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,980

LCM of Fractions 876/28,980/2802 is 107310

2 876, 980
2 438, 490
219, 245

∴ So the LCM of the given numbers is 2 x 2 x 219 x 245 = 214620

Least Common Multiple of 876,980 with GCF Formula

Least Common Multiple of 876,980 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 876,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,980) = 4

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

GCF(876,980) x common factors =4 x 1 = 4

LCM(876,980) = ( 876 × 980 ) / 4

LCM(876,980) = 858480 / 4

LCM(876,980) = 214620


Lets's calculate GCF of 28,2802

2 28, 2802
14, 1401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214620/2

Therefore the LCM of Fractions 876/28,980/2802 is 107310

Greatest Common Factor of 28,2802 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,2802 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 2802

List of positive integer factors of 2802 that divides 2802 without a remainder.

1,2,3,6,467,934,1401,2802

Greatest Common Factor

We found the factors 28,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 28,2802 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 876/28, 980/2802

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 876/28, 980/2802?

Answer: LCM of Numerators as per given numbers 876/28, 980/2802 is

LCM of Numerators i.e. for 876,980 is 214620

GCF of denominators i.e. for 28,2802 is 2.

Thus, LCM of Fractions is 107310.Finally, LCM of Fractions for 876/28, 980/2802 is 107310.