Least Common Multiple of 148/78, 148/73, 268/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/78, 148/73, 268/577 quickly i.e. 9916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/78, 148/73, 268/577 is 9916.

LCM(148/78, 148/73, 268/577) = 9916

LCM of 148/78, 148/73, 268/577

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 148/78,148/73,268/577

Given numbers are 148/78,148/73,268/577

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 148,148,268

Least Common Multiple of Numerators i.e. LCM of 148,148,268 is 9916.

GCF of Denominators means GCF of 78,73,577 as per the given fractions.

GCF of 78,73,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,148,268

LCM of Fractions 148/78,148/73,268/577 is 9916

2 148, 148, 268
2 74, 74, 134
37 37, 37, 67
1, 1, 67

∴ So the LCM of the given numbers is 2 x 2 x 37 x 1 x 1 x 67 = 9916

Least Common Multiple of 148,148,268 with GCF Formula

Least Common Multiple of 148,148,268 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 148,148,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,148,268) = 4

common factors(in case of two or more numbers have common factors) = 148

GCF(148,148,268) x common factors =4 x 148 = 592

LCM(148,148,268) = ( 148 × 148 × 268 ) / 592

LCM(148,148,268) = 5870272 / 592

LCM(148,148,268) = 9916


Lets's calculate GCF of 78,73,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9916/1

Therefore the LCM of Fractions 148/78,148/73,268/577 is 9916

Greatest Common Factor of 78,73,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,73,577 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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 78,73,577 . The biggest common factor number is the GCF number.
So the greatest common factor 78,73,577 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 148/78, 148/73, 268/577

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 148/78, 148/73, 268/577?

Answer: LCM of Numerators as per given numbers 148/78, 148/73, 268/577 is

LCM of Numerators i.e. for 148,148,268 is 9916

GCF of denominators i.e. for 78,73,577 is 1.

Thus, LCM of Fractions is 9916.Finally, LCM of Fractions for 148/78, 148/73, 268/577 is 9916.