Least Common Multiple of 25/110, 78/961, 315/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/110, 78/961, 315/705 quickly i.e. 40950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/110, 78/961, 315/705 is 40950.

LCM(25/110, 78/961, 315/705) = 40950

LCM of 25/110, 78/961, 315/705

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 25/110,78/961,315/705

Given numbers are 25/110,78/961,315/705

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 25,78,315

Least Common Multiple of Numerators i.e. LCM of 25,78,315 is 40950.

GCF of Denominators means GCF of 110,961,705 as per the given fractions.

GCF of 110,961,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,78,315

LCM of Fractions 25/110,78/961,315/705 is 40950

3 25, 78, 315
5 25, 26, 105
5, 26, 21

∴ So the LCM of the given numbers is 3 x 5 x 5 x 26 x 21 = 40950

Least Common Multiple of 25,78,315 with GCF Formula

Least Common Multiple of 25,78,315 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 25,78,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,78,315) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(25,78,315) x common factors =1 x 15 = 15

LCM(25,78,315) = ( 25 × 78 × 315 ) / 15

LCM(25,78,315) = 614250 / 15

LCM(25,78,315) = 40950


Lets's calculate GCF of 110,961,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40950/1

Therefore the LCM of Fractions 25/110,78/961,315/705 is 40950

Greatest Common Factor of 110,961,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,961,705 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 110,961,705 . The biggest common factor number is the GCF number.
So the greatest common factor 110,961,705 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 25/110, 78/961, 315/705

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 25/110, 78/961, 315/705?

Answer: LCM of Numerators as per given numbers 25/110, 78/961, 315/705 is

LCM of Numerators i.e. for 25,78,315 is 40950

GCF of denominators i.e. for 110,961,705 is 1.

Thus, LCM of Fractions is 40950.Finally, LCM of Fractions for 25/110, 78/961, 315/705 is 40950.