Least Common Multiple of 254/660, 7164/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/660, 7164/914 quickly i.e. 454914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/660, 7164/914 is 454914.

LCM(254/660, 7164/914) = 454914

LCM of 254/660, 7164/914

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 254/660,7164/914

Given numbers are 254/660,7164/914

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 254,7164

Least Common Multiple of Numerators i.e. LCM of 254,7164 is 909828.

GCF of Denominators means GCF of 660,914 as per the given fractions.

GCF of 660,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,7164

LCM of Fractions 254/660,7164/914 is 454914

2 254, 7164
127, 3582

∴ So the LCM of the given numbers is 2 x 127 x 3582 = 909828

Least Common Multiple of 254,7164 with GCF Formula

Least Common Multiple of 254,7164 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 254,7164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,7164) = 2

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

GCF(254,7164) x common factors =2 x 1 = 2

LCM(254,7164) = ( 254 × 7164 ) / 2

LCM(254,7164) = 1819656 / 2

LCM(254,7164) = 909828


Lets's calculate GCF of 660,914

2 660, 914
330, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909828/2

Therefore the LCM of Fractions 254/660,7164/914 is 454914

Greatest Common Factor of 660,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,914 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 660,914 . The biggest common factor number is the GCF number.
So the greatest common factor 660,914 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 254/660, 7164/914

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 254/660, 7164/914?

Answer: LCM of Numerators as per given numbers 254/660, 7164/914 is

LCM of Numerators i.e. for 254,7164 is 909828

GCF of denominators i.e. for 660,914 is 2.

Thus, LCM of Fractions is 454914.Finally, LCM of Fractions for 254/660, 7164/914 is 454914.