Least Common Multiple of 3/42, 65/756, 75/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/42, 65/756, 75/821 quickly i.e. 975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/42, 65/756, 75/821 is 975.

LCM(3/42, 65/756, 75/821) = 975

LCM of 3/42, 65/756, 75/821

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 3/42,65/756,75/821

Given numbers are 3/42,65/756,75/821

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 3,65,75

Least Common Multiple of Numerators i.e. LCM of 3,65,75 is 975.

GCF of Denominators means GCF of 42,756,821 as per the given fractions.

GCF of 42,756,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,65,75

LCM of Fractions 3/42,65/756,75/821 is 975

3 3, 65, 75
5 1, 65, 25
1, 13, 5

∴ So the LCM of the given numbers is 3 x 5 x 1 x 13 x 5 = 975

Least Common Multiple of 3,65,75 with GCF Formula

Least Common Multiple of 3,65,75 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 3,65,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,65,75) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(3,65,75) x common factors =1 x 15 = 15

LCM(3,65,75) = ( 3 × 65 × 75 ) / 15

LCM(3,65,75) = 14625 / 15

LCM(3,65,75) = 975


Lets's calculate GCF of 42,756,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 975/1

Therefore the LCM of Fractions 3/42,65/756,75/821 is 975

Greatest Common Factor of 42,756,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,756,821 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 42,756,821 . The biggest common factor number is the GCF number.
So the greatest common factor 42,756,821 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 3/42, 65/756, 75/821

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 3/42, 65/756, 75/821?

Answer: LCM of Numerators as per given numbers 3/42, 65/756, 75/821 is

LCM of Numerators i.e. for 3,65,75 is 975

GCF of denominators i.e. for 42,756,821 is 1.

Thus, LCM of Fractions is 975.Finally, LCM of Fractions for 3/42, 65/756, 75/821 is 975.