Least Common Multiple of 26/537, 249/100, 275/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/537, 249/100, 275/210 quickly i.e. 1780350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/537, 249/100, 275/210 is 1780350.

LCM(26/537, 249/100, 275/210) = 1780350

LCM of 26/537, 249/100, 275/210

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 26/537,249/100,275/210

Given numbers are 26/537,249/100,275/210

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 26,249,275

Least Common Multiple of Numerators i.e. LCM of 26,249,275 is 1780350.

GCF of Denominators means GCF of 537,100,210 as per the given fractions.

GCF of 537,100,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,249,275

LCM of Fractions 26/537,249/100,275/210 is 1780350

Given numbers has no common factors except 1. So, there LCM is their product i.e 1780350

Least Common Multiple of 26,249,275 with GCF Formula

Least Common Multiple of 26,249,275 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 26,249,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,249,275) = 1

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

GCF(26,249,275) x common factors =1 x 1 = 1

LCM(26,249,275) = ( 26 × 249 × 275 ) / 1

LCM(26,249,275) = 1780350 / 1

LCM(26,249,275) = 1780350


Lets's calculate GCF of 537,100,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1780350/1

Therefore the LCM of Fractions 26/537,249/100,275/210 is 1780350

Greatest Common Factor of 537,100,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,100,210 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 537,100,210 . The biggest common factor number is the GCF number.
So the greatest common factor 537,100,210 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 26/537, 249/100, 275/210

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 26/537, 249/100, 275/210?

Answer: LCM of Numerators as per given numbers 26/537, 249/100, 275/210 is

LCM of Numerators i.e. for 26,249,275 is 1780350

GCF of denominators i.e. for 537,100,210 is 1.

Thus, LCM of Fractions is 1780350.Finally, LCM of Fractions for 26/537, 249/100, 275/210 is 1780350.