Least Common Multiple of 37/240, 33/767, 826/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/240, 33/767, 826/820 quickly i.e. 1008546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/240, 33/767, 826/820 is 1008546.

LCM(37/240, 33/767, 826/820) = 1008546

LCM of 37/240, 33/767, 826/820

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 37/240,33/767,826/820

Given numbers are 37/240,33/767,826/820

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 37,33,826

Least Common Multiple of Numerators i.e. LCM of 37,33,826 is 1008546.

GCF of Denominators means GCF of 240,767,820 as per the given fractions.

GCF of 240,767,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,33,826

LCM of Fractions 37/240,33/767,826/820 is 1008546

Given numbers has no common factors except 1. So, there LCM is their product i.e 1008546

Least Common Multiple of 37,33,826 with GCF Formula

Least Common Multiple of 37,33,826 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 37,33,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,33,826) = 1

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

GCF(37,33,826) x common factors =1 x 1 = 1

LCM(37,33,826) = ( 37 × 33 × 826 ) / 1

LCM(37,33,826) = 1008546 / 1

LCM(37,33,826) = 1008546


Lets's calculate GCF of 240,767,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008546/1

Therefore the LCM of Fractions 37/240,33/767,826/820 is 1008546

Greatest Common Factor of 240,767,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,767,820 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 767

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

1,13,59,767

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 240,767,820 . The biggest common factor number is the GCF number.
So the greatest common factor 240,767,820 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 37/240, 33/767, 826/820

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 37/240, 33/767, 826/820?

Answer: LCM of Numerators as per given numbers 37/240, 33/767, 826/820 is

LCM of Numerators i.e. for 37,33,826 is 1008546

GCF of denominators i.e. for 240,767,820 is 1.

Thus, LCM of Fractions is 1008546.Finally, LCM of Fractions for 37/240, 33/767, 826/820 is 1008546.