Least Common Multiple of 501/940, 6105/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/940, 6105/765 quickly i.e. 203907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/940, 6105/765 is 203907.

LCM(501/940, 6105/765) = 203907

LCM of 501/940, 6105/765

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 501/940,6105/765

Given numbers are 501/940,6105/765

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 501,6105

Least Common Multiple of Numerators i.e. LCM of 501,6105 is 1019535.

GCF of Denominators means GCF of 940,765 as per the given fractions.

GCF of 940,765 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,6105

LCM of Fractions 501/940,6105/765 is 203907

3 501, 6105
167, 2035

∴ So the LCM of the given numbers is 3 x 167 x 2035 = 1019535

Least Common Multiple of 501,6105 with GCF Formula

Least Common Multiple of 501,6105 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 501,6105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,6105) = 3

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

GCF(501,6105) x common factors =3 x 1 = 3

LCM(501,6105) = ( 501 × 6105 ) / 3

LCM(501,6105) = 3058605 / 3

LCM(501,6105) = 1019535


Lets's calculate GCF of 940,765

5 940, 765
188, 153

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1019535/5

Therefore the LCM of Fractions 501/940,6105/765 is 203907

Greatest Common Factor of 940,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,765 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 940,765 . The biggest common factor number is the GCF number.
So the greatest common factor 940,765 is 5.


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 501/940, 6105/765

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 501/940, 6105/765?

Answer: LCM of Numerators as per given numbers 501/940, 6105/765 is

LCM of Numerators i.e. for 501,6105 is 1019535

GCF of denominators i.e. for 940,765 is 5.

Thus, LCM of Fractions is 203907.Finally, LCM of Fractions for 501/940, 6105/765 is 203907.