Least Common Multiple of 737/78, 176/1928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/78, 176/1928 quickly i.e. 5896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/78, 176/1928 is 5896.

LCM(737/78, 176/1928) = 5896

LCM of 737/78, 176/1928

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 737/78,176/1928

Given numbers are 737/78,176/1928

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 737,176

Least Common Multiple of Numerators i.e. LCM of 737,176 is 11792.

GCF of Denominators means GCF of 78,1928 as per the given fractions.

GCF of 78,1928 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,176

LCM of Fractions 737/78,176/1928 is 5896

11 737, 176
67, 16

∴ So the LCM of the given numbers is 11 x 67 x 16 = 11792

Least Common Multiple of 737,176 with GCF Formula

Least Common Multiple of 737,176 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 737,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,176) = 11

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

GCF(737,176) x common factors =11 x 1 = 11

LCM(737,176) = ( 737 × 176 ) / 11

LCM(737,176) = 129712 / 11

LCM(737,176) = 11792


Lets's calculate GCF of 78,1928

2 78, 1928
39, 964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11792/2

Therefore the LCM of Fractions 737/78,176/1928 is 5896

Greatest Common Factor of 78,1928 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1928 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 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1,2,4,8,241,482,964,1928

Greatest Common Factor

We found the factors 78,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1928 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 737/78, 176/1928

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 737/78, 176/1928?

Answer: LCM of Numerators as per given numbers 737/78, 176/1928 is

LCM of Numerators i.e. for 737,176 is 11792

GCF of denominators i.e. for 78,1928 is 2.

Thus, LCM of Fractions is 5896.Finally, LCM of Fractions for 737/78, 176/1928 is 5896.