Least Common Multiple of 26/211, 87/905, 280/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/211, 87/905, 280/298 quickly i.e. 316680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/211, 87/905, 280/298 is 316680.

LCM(26/211, 87/905, 280/298) = 316680

LCM of 26/211, 87/905, 280/298

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 26/211,87/905,280/298

Given numbers are 26/211,87/905,280/298

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 26,87,280

Least Common Multiple of Numerators i.e. LCM of 26,87,280 is 316680.

GCF of Denominators means GCF of 211,905,298 as per the given fractions.

GCF of 211,905,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,87,280

LCM of Fractions 26/211,87/905,280/298 is 316680

2 26, 87, 280
13, 87, 140

∴ So the LCM of the given numbers is 2 x 13 x 87 x 140 = 316680

Least Common Multiple of 26,87,280 with GCF Formula

Least Common Multiple of 26,87,280 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 26,87,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,87,280) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,87,280) x common factors =1 x 2 = 2

LCM(26,87,280) = ( 26 × 87 × 280 ) / 2

LCM(26,87,280) = 633360 / 2

LCM(26,87,280) = 316680


Lets's calculate GCF of 211,905,298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316680/1

Therefore the LCM of Fractions 26/211,87/905,280/298 is 316680

Greatest Common Factor of 211,905,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,905,298 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 211,905,298 . The biggest common factor number is the GCF number.
So the greatest common factor 211,905,298 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 26/211, 87/905, 280/298

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 26/211, 87/905, 280/298?

Answer: LCM of Numerators as per given numbers 26/211, 87/905, 280/298 is

LCM of Numerators i.e. for 26,87,280 is 316680

GCF of denominators i.e. for 211,905,298 is 1.

Thus, LCM of Fractions is 316680.Finally, LCM of Fractions for 26/211, 87/905, 280/298 is 316680.