Least Common Multiple of 422/945, 659/431, 905/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/945, 659/431, 905/674 quickly i.e. 251678690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/945, 659/431, 905/674 is 251678690.

LCM(422/945, 659/431, 905/674) = 251678690

LCM of 422/945, 659/431, 905/674

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 422/945,659/431,905/674

Given numbers are 422/945,659/431,905/674

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 422,659,905

Least Common Multiple of Numerators i.e. LCM of 422,659,905 is 251678690.

GCF of Denominators means GCF of 945,431,674 as per the given fractions.

GCF of 945,431,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,659,905

LCM of Fractions 422/945,659/431,905/674 is 251678690

Given numbers has no common factors except 1. So, there LCM is their product i.e 251678690

Least Common Multiple of 422,659,905 with GCF Formula

Least Common Multiple of 422,659,905 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 422,659,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,659,905) = 1

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

GCF(422,659,905) x common factors =1 x 1 = 1

LCM(422,659,905) = ( 422 × 659 × 905 ) / 1

LCM(422,659,905) = 251678690 / 1

LCM(422,659,905) = 251678690


Lets's calculate GCF of 945,431,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251678690/1

Therefore the LCM of Fractions 422/945,659/431,905/674 is 251678690

Greatest Common Factor of 945,431,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,431,674 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 945,431,674 . The biggest common factor number is the GCF number.
So the greatest common factor 945,431,674 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 422/945, 659/431, 905/674

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 422/945, 659/431, 905/674?

Answer: LCM of Numerators as per given numbers 422/945, 659/431, 905/674 is

LCM of Numerators i.e. for 422,659,905 is 251678690

GCF of denominators i.e. for 945,431,674 is 1.

Thus, LCM of Fractions is 251678690.Finally, LCM of Fractions for 422/945, 659/431, 905/674 is 251678690.