Least Common Multiple of 749/278, 3928/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/278, 3928/936 quickly i.e. 1471036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/278, 3928/936 is 1471036.

LCM(749/278, 3928/936) = 1471036

LCM of 749/278, 3928/936

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 749/278,3928/936

Given numbers are 749/278,3928/936

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 749,3928

Least Common Multiple of Numerators i.e. LCM of 749,3928 is 2942072.

GCF of Denominators means GCF of 278,936 as per the given fractions.

GCF of 278,936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,3928

LCM of Fractions 749/278,3928/936 is 1471036

Given numbers has no common factors except 1. So, there LCM is their product i.e 2942072

Least Common Multiple of 749,3928 with GCF Formula

Least Common Multiple of 749,3928 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 749,3928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,3928) = 1

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

GCF(749,3928) x common factors =1 x 1 = 1

LCM(749,3928) = ( 749 × 3928 ) / 1

LCM(749,3928) = 2942072 / 1

LCM(749,3928) = 2942072


Lets's calculate GCF of 278,936

2 278, 936
139, 468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2942072/2

Therefore the LCM of Fractions 749/278,3928/936 is 1471036

Greatest Common Factor of 278,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,936 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 278,936 . The biggest common factor number is the GCF number.
So the greatest common factor 278,936 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 749/278, 3928/936

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 749/278, 3928/936?

Answer: LCM of Numerators as per given numbers 749/278, 3928/936 is

LCM of Numerators i.e. for 749,3928 is 2942072

GCF of denominators i.e. for 278,936 is 2.

Thus, LCM of Fractions is 1471036.Finally, LCM of Fractions for 749/278, 3928/936 is 1471036.