Least Common Multiple of 840/906, 8252/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/906, 8252/402 quickly i.e. 288820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/906, 8252/402 is 288820.

LCM(840/906, 8252/402) = 288820

LCM of 840/906, 8252/402

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 840/906,8252/402

Given numbers are 840/906,8252/402

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 840,8252

Least Common Multiple of Numerators i.e. LCM of 840,8252 is 1732920.

GCF of Denominators means GCF of 906,402 as per the given fractions.

GCF of 906,402 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,8252

LCM of Fractions 840/906,8252/402 is 288820

2 840, 8252
2 420, 4126
210, 2063

∴ So the LCM of the given numbers is 2 x 2 x 210 x 2063 = 1732920

Least Common Multiple of 840,8252 with GCF Formula

Least Common Multiple of 840,8252 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 840,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,8252) = 4

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

GCF(840,8252) x common factors =4 x 1 = 4

LCM(840,8252) = ( 840 × 8252 ) / 4

LCM(840,8252) = 6931680 / 4

LCM(840,8252) = 1732920


Lets's calculate GCF of 906,402

2 906, 402
3 453, 201
151, 67

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1732920/6

Therefore the LCM of Fractions 840/906,8252/402 is 288820

Greatest Common Factor of 906,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,402 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 906,402 . The biggest common factor number is the GCF number.
So the greatest common factor 906,402 is 6.


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 840/906, 8252/402

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 840/906, 8252/402?

Answer: LCM of Numerators as per given numbers 840/906, 8252/402 is

LCM of Numerators i.e. for 840,8252 is 1732920

GCF of denominators i.e. for 906,402 is 6.

Thus, LCM of Fractions is 288820.Finally, LCM of Fractions for 840/906, 8252/402 is 288820.