Least Common Multiple of 25/78, 267/74, 142/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/78, 267/74, 142/544 quickly i.e. 473925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/78, 267/74, 142/544 is 473925.

LCM(25/78, 267/74, 142/544) = 473925

LCM of 25/78, 267/74, 142/544

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 25/78,267/74,142/544

Given numbers are 25/78,267/74,142/544

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 25,267,142

Least Common Multiple of Numerators i.e. LCM of 25,267,142 is 947850.

GCF of Denominators means GCF of 78,74,544 as per the given fractions.

GCF of 78,74,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,267,142

LCM of Fractions 25/78,267/74,142/544 is 473925

Given numbers has no common factors except 1. So, there LCM is their product i.e 947850

Least Common Multiple of 25,267,142 with GCF Formula

Least Common Multiple of 25,267,142 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 25,267,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,267,142) = 1

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

GCF(25,267,142) x common factors =1 x 1 = 1

LCM(25,267,142) = ( 25 × 267 × 142 ) / 1

LCM(25,267,142) = 947850 / 1

LCM(25,267,142) = 947850


Lets's calculate GCF of 78,74,544

2 78, 74, 544
39, 37, 272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 947850/2

Therefore the LCM of Fractions 25/78,267/74,142/544 is 473925

Greatest Common Factor of 78,74,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,74,544 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 78,74,544 . The biggest common factor number is the GCF number.
So the greatest common factor 78,74,544 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 25/78, 267/74, 142/544

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 25/78, 267/74, 142/544?

Answer: LCM of Numerators as per given numbers 25/78, 267/74, 142/544 is

LCM of Numerators i.e. for 25,267,142 is 947850

GCF of denominators i.e. for 78,74,544 is 2.

Thus, LCM of Fractions is 473925.Finally, LCM of Fractions for 25/78, 267/74, 142/544 is 473925.