Least Common Multiple of 278/17, 373/63, 537/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/17, 373/63, 537/650 quickly i.e. 55683678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/17, 373/63, 537/650 is 55683678.

LCM(278/17, 373/63, 537/650) = 55683678

LCM of 278/17, 373/63, 537/650

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 278/17,373/63,537/650

Given numbers are 278/17,373/63,537/650

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 278,373,537

Least Common Multiple of Numerators i.e. LCM of 278,373,537 is 55683678.

GCF of Denominators means GCF of 17,63,650 as per the given fractions.

GCF of 17,63,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,373,537

LCM of Fractions 278/17,373/63,537/650 is 55683678

Given numbers has no common factors except 1. So, there LCM is their product i.e 55683678

Least Common Multiple of 278,373,537 with GCF Formula

Least Common Multiple of 278,373,537 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 278,373,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,373,537) = 1

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

GCF(278,373,537) x common factors =1 x 1 = 1

LCM(278,373,537) = ( 278 × 373 × 537 ) / 1

LCM(278,373,537) = 55683678 / 1

LCM(278,373,537) = 55683678


Lets's calculate GCF of 17,63,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55683678/1

Therefore the LCM of Fractions 278/17,373/63,537/650 is 55683678

Greatest Common Factor of 17,63,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,63,650 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 17,63,650 . The biggest common factor number is the GCF number.
So the greatest common factor 17,63,650 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 278/17, 373/63, 537/650

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 278/17, 373/63, 537/650?

Answer: LCM of Numerators as per given numbers 278/17, 373/63, 537/650 is

LCM of Numerators i.e. for 278,373,537 is 55683678

GCF of denominators i.e. for 17,63,650 is 1.

Thus, LCM of Fractions is 55683678.Finally, LCM of Fractions for 278/17, 373/63, 537/650 is 55683678.