Least Common Multiple of 25/730, 87/708, 116/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/730, 87/708, 116/154 quickly i.e. 4350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/730, 87/708, 116/154 is 4350.

LCM(25/730, 87/708, 116/154) = 4350

LCM of 25/730, 87/708, 116/154

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 25/730,87/708,116/154

Given numbers are 25/730,87/708,116/154

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 25,87,116

Least Common Multiple of Numerators i.e. LCM of 25,87,116 is 8700.

GCF of Denominators means GCF of 730,708,154 as per the given fractions.

GCF of 730,708,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,87,116

LCM of Fractions 25/730,87/708,116/154 is 4350

29 25, 87, 116
25, 3, 4

∴ So the LCM of the given numbers is 29 x 25 x 3 x 4 = 8700

Least Common Multiple of 25,87,116 with GCF Formula

Least Common Multiple of 25,87,116 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 25,87,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,87,116) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(25,87,116) x common factors =1 x 29 = 29

LCM(25,87,116) = ( 25 × 87 × 116 ) / 29

LCM(25,87,116) = 252300 / 29

LCM(25,87,116) = 8700


Lets's calculate GCF of 730,708,154

2 730, 708, 154
365, 354, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8700/2

Therefore the LCM of Fractions 25/730,87/708,116/154 is 4350

Greatest Common Factor of 730,708,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,708,154 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 730,708,154 . The biggest common factor number is the GCF number.
So the greatest common factor 730,708,154 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 25/730, 87/708, 116/154

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 25/730, 87/708, 116/154?

Answer: LCM of Numerators as per given numbers 25/730, 87/708, 116/154 is

LCM of Numerators i.e. for 25,87,116 is 8700

GCF of denominators i.e. for 730,708,154 is 2.

Thus, LCM of Fractions is 4350.Finally, LCM of Fractions for 25/730, 87/708, 116/154 is 4350.