Least Common Multiple of 37/762, 66/864, 688/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/762, 66/864, 688/903 quickly i.e. 280016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/762, 66/864, 688/903 is 280016.

LCM(37/762, 66/864, 688/903) = 280016

LCM of 37/762, 66/864, 688/903

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 37/762,66/864,688/903

Given numbers are 37/762,66/864,688/903

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 37,66,688

Least Common Multiple of Numerators i.e. LCM of 37,66,688 is 840048.

GCF of Denominators means GCF of 762,864,903 as per the given fractions.

GCF of 762,864,903 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,66,688

LCM of Fractions 37/762,66/864,688/903 is 280016

2 37, 66, 688
37, 33, 344

∴ So the LCM of the given numbers is 2 x 37 x 33 x 344 = 840048

Least Common Multiple of 37,66,688 with GCF Formula

Least Common Multiple of 37,66,688 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 37,66,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,66,688) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,66,688) x common factors =1 x 2 = 2

LCM(37,66,688) = ( 37 × 66 × 688 ) / 2

LCM(37,66,688) = 1680096 / 2

LCM(37,66,688) = 840048


Lets's calculate GCF of 762,864,903

3 762, 864, 903
254, 288, 301

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840048/3

Therefore the LCM of Fractions 37/762,66/864,688/903 is 280016

Greatest Common Factor of 762,864,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,864,903 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 762,864,903 . The biggest common factor number is the GCF number.
So the greatest common factor 762,864,903 is 3.


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 37/762, 66/864, 688/903

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 37/762, 66/864, 688/903?

Answer: LCM of Numerators as per given numbers 37/762, 66/864, 688/903 is

LCM of Numerators i.e. for 37,66,688 is 840048

GCF of denominators i.e. for 762,864,903 is 3.

Thus, LCM of Fractions is 280016.Finally, LCM of Fractions for 37/762, 66/864, 688/903 is 280016.