Least Common Multiple of 750/885, 3702/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/885, 3702/708 quickly i.e. 462750/177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/885, 3702/708 is 462750/177.

LCM(750/885, 3702/708) = 462750/177

LCM of 750/885, 3702/708

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 750/885,3702/708

Given numbers are 750/885,3702/708

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 750,3702

Least Common Multiple of Numerators i.e. LCM of 750,3702 is 462750.

GCF of Denominators means GCF of 885,708 as per the given fractions.

GCF of 885,708 is 177 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,3702

LCM of Fractions 750/885,3702/708 is 462750/177

2 750, 3702
3 375, 1851
125, 617

∴ So the LCM of the given numbers is 2 x 3 x 125 x 617 = 462750

Least Common Multiple of 750,3702 with GCF Formula

Least Common Multiple of 750,3702 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 750,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,3702) = 6

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

GCF(750,3702) x common factors =6 x 1 = 6

LCM(750,3702) = ( 750 × 3702 ) / 6

LCM(750,3702) = 2776500 / 6

LCM(750,3702) = 462750


Lets's calculate GCF of 885,708

3 885, 708
59 295, 236
5, 4

∴ So the GCF of the given numbers is 3 x 59 = 177

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462750/177

Therefore the LCM of Fractions 750/885,3702/708 is 462750/177

Greatest Common Factor of 885,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,708 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 885,708 . The biggest common factor number is the GCF number.
So the greatest common factor 885,708 is 177.


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 750/885, 3702/708

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 750/885, 3702/708?

Answer: LCM of Numerators as per given numbers 750/885, 3702/708 is

LCM of Numerators i.e. for 750,3702 is 462750

GCF of denominators i.e. for 885,708 is 177.

Thus, LCM of Fractions is 462750/177.Finally, LCM of Fractions for 750/885, 3702/708 is 462750/177.