Least Common Multiple of 840/474, 757/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/474, 757/441 quickly i.e. 211960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/474, 757/441 is 211960.

LCM(840/474, 757/441) = 211960

LCM of 840/474, 757/441

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 840/474,757/441

Given numbers are 840/474,757/441

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 840,757

Least Common Multiple of Numerators i.e. LCM of 840,757 is 635880.

GCF of Denominators means GCF of 474,441 as per the given fractions.

GCF of 474,441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,757

LCM of Fractions 840/474,757/441 is 211960

Given numbers has no common factors except 1. So, there LCM is their product i.e 635880

Least Common Multiple of 840,757 with GCF Formula

Least Common Multiple of 840,757 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 840,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,757) = 1

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

GCF(840,757) x common factors =1 x 1 = 1

LCM(840,757) = ( 840 × 757 ) / 1

LCM(840,757) = 635880 / 1

LCM(840,757) = 635880


Lets's calculate GCF of 474,441

3 474, 441
158, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 635880/3

Therefore the LCM of Fractions 840/474,757/441 is 211960

Greatest Common Factor of 474,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,441 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 474,441 . The biggest common factor number is the GCF number.
So the greatest common factor 474,441 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 840/474, 757/441

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 840/474, 757/441?

Answer: LCM of Numerators as per given numbers 840/474, 757/441 is

LCM of Numerators i.e. for 840,757 is 635880

GCF of denominators i.e. for 474,441 is 3.

Thus, LCM of Fractions is 211960.Finally, LCM of Fractions for 840/474, 757/441 is 211960.