Least Common Multiple of 42/263, 78/479, 250/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/263, 78/479, 250/548 quickly i.e. 68250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/263, 78/479, 250/548 is 68250.

LCM(42/263, 78/479, 250/548) = 68250

LCM of 42/263, 78/479, 250/548

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 42/263,78/479,250/548

Given numbers are 42/263,78/479,250/548

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 42,78,250

Least Common Multiple of Numerators i.e. LCM of 42,78,250 is 68250.

GCF of Denominators means GCF of 263,479,548 as per the given fractions.

GCF of 263,479,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,78,250

LCM of Fractions 42/263,78/479,250/548 is 68250

2 42, 78, 250
3 21, 39, 125
7, 13, 125

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 125 = 68250

Least Common Multiple of 42,78,250 with GCF Formula

Least Common Multiple of 42,78,250 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 42,78,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,78,250) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,78,250) x common factors =2 x 6 = 12

LCM(42,78,250) = ( 42 × 78 × 250 ) / 12

LCM(42,78,250) = 819000 / 12

LCM(42,78,250) = 68250


Lets's calculate GCF of 263,479,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68250/1

Therefore the LCM of Fractions 42/263,78/479,250/548 is 68250

Greatest Common Factor of 263,479,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,479,548 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 263,479,548 . The biggest common factor number is the GCF number.
So the greatest common factor 263,479,548 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 42/263, 78/479, 250/548

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 42/263, 78/479, 250/548?

Answer: LCM of Numerators as per given numbers 42/263, 78/479, 250/548 is

LCM of Numerators i.e. for 42,78,250 is 68250

GCF of denominators i.e. for 263,479,548 is 1.

Thus, LCM of Fractions is 68250.Finally, LCM of Fractions for 42/263, 78/479, 250/548 is 68250.