Least Common Multiple of 3715/767, 5380/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3715/767, 5380/748 quickly i.e. 3997340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3715/767, 5380/748 is 3997340.

LCM(3715/767, 5380/748) = 3997340

LCM of 3715/767, 5380/748

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 3715/767,5380/748

Given numbers are 3715/767,5380/748

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 3715,5380

Least Common Multiple of Numerators i.e. LCM of 3715,5380 is 3997340.

GCF of Denominators means GCF of 767,748 as per the given fractions.

GCF of 767,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3715,5380

LCM of Fractions 3715/767,5380/748 is 3997340

5 3715, 5380
743, 1076

∴ So the LCM of the given numbers is 5 x 743 x 1076 = 3997340

Least Common Multiple of 3715,5380 with GCF Formula

Least Common Multiple of 3715,5380 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 3715,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3715,5380) = 5

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

GCF(3715,5380) x common factors =5 x 1 = 5

LCM(3715,5380) = ( 3715 × 5380 ) / 5

LCM(3715,5380) = 19986700 / 5

LCM(3715,5380) = 3997340


Lets's calculate GCF of 767,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3997340/1

Therefore the LCM of Fractions 3715/767,5380/748 is 3997340

Greatest Common Factor of 767,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,748 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 767,748 . The biggest common factor number is the GCF number.
So the greatest common factor 767,748 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 3715/767, 5380/748

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 3715/767, 5380/748?

Answer: LCM of Numerators as per given numbers 3715/767, 5380/748 is

LCM of Numerators i.e. for 3715,5380 is 3997340

GCF of denominators i.e. for 767,748 is 1.

Thus, LCM of Fractions is 3997340.Finally, LCM of Fractions for 3715/767, 5380/748 is 3997340.