Least Common Multiple of 49/478, 431/690, 821/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/478, 431/690, 821/402 quickly i.e. 17338699/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/478, 431/690, 821/402 is 17338699/2.

LCM(49/478, 431/690, 821/402) = 17338699/2

LCM of 49/478, 431/690, 821/402

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 49/478,431/690,821/402

Given numbers are 49/478,431/690,821/402

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 49,431,821

Least Common Multiple of Numerators i.e. LCM of 49,431,821 is 17338699.

GCF of Denominators means GCF of 478,690,402 as per the given fractions.

GCF of 478,690,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,431,821

LCM of Fractions 49/478,431/690,821/402 is 17338699/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 17338699

Least Common Multiple of 49,431,821 with GCF Formula

Least Common Multiple of 49,431,821 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 49,431,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,431,821) = 1

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

GCF(49,431,821) x common factors =1 x 1 = 1

LCM(49,431,821) = ( 49 × 431 × 821 ) / 1

LCM(49,431,821) = 17338699 / 1

LCM(49,431,821) = 17338699


Lets's calculate GCF of 478,690,402

2 478, 690, 402
239, 345, 201

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17338699/2

Therefore the LCM of Fractions 49/478,431/690,821/402 is 17338699/2

Greatest Common Factor of 478,690,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,690,402 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

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 478,690,402 . The biggest common factor number is the GCF number.
So the greatest common factor 478,690,402 is 2.


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 49/478, 431/690, 821/402

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 49/478, 431/690, 821/402?

Answer: LCM of Numerators as per given numbers 49/478, 431/690, 821/402 is

LCM of Numerators i.e. for 49,431,821 is 17338699

GCF of denominators i.e. for 478,690,402 is 2.

Thus, LCM of Fractions is 17338699/2.Finally, LCM of Fractions for 49/478, 431/690, 821/402 is 17338699/2.