Least Common Multiple of 916/78, 754/25, 154/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/78, 754/25, 154/662 quickly i.e. 26590564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/78, 754/25, 154/662 is 26590564.

LCM(916/78, 754/25, 154/662) = 26590564

LCM of 916/78, 754/25, 154/662

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 916/78,754/25,154/662

Given numbers are 916/78,754/25,154/662

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 916,754,154

Least Common Multiple of Numerators i.e. LCM of 916,754,154 is 26590564.

GCF of Denominators means GCF of 78,25,662 as per the given fractions.

GCF of 78,25,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,754,154

LCM of Fractions 916/78,754/25,154/662 is 26590564

2 916, 754, 154
458, 377, 77

∴ So the LCM of the given numbers is 2 x 458 x 377 x 77 = 26590564

Least Common Multiple of 916,754,154 with GCF Formula

Least Common Multiple of 916,754,154 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 916,754,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,754,154) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(916,754,154) x common factors =2 x 2 = 4

LCM(916,754,154) = ( 916 × 754 × 154 ) / 4

LCM(916,754,154) = 106362256 / 4

LCM(916,754,154) = 26590564


Lets's calculate GCF of 78,25,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26590564/1

Therefore the LCM of Fractions 916/78,754/25,154/662 is 26590564

Greatest Common Factor of 78,25,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,25,662 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 78,25,662 . The biggest common factor number is the GCF number.
So the greatest common factor 78,25,662 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 916/78, 754/25, 154/662

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 916/78, 754/25, 154/662?

Answer: LCM of Numerators as per given numbers 916/78, 754/25, 154/662 is

LCM of Numerators i.e. for 916,754,154 is 26590564

GCF of denominators i.e. for 78,25,662 is 1.

Thus, LCM of Fractions is 26590564.Finally, LCM of Fractions for 916/78, 754/25, 154/662 is 26590564.