Least Common Multiple of 45/956, 49/875, 422/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/956, 49/875, 422/788 quickly i.e. 930510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/956, 49/875, 422/788 is 930510.

LCM(45/956, 49/875, 422/788) = 930510

LCM of 45/956, 49/875, 422/788

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 45/956,49/875,422/788

Given numbers are 45/956,49/875,422/788

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 45,49,422

Least Common Multiple of Numerators i.e. LCM of 45,49,422 is 930510.

GCF of Denominators means GCF of 956,875,788 as per the given fractions.

GCF of 956,875,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,49,422

LCM of Fractions 45/956,49/875,422/788 is 930510

Given numbers has no common factors except 1. So, there LCM is their product i.e 930510

Least Common Multiple of 45,49,422 with GCF Formula

Least Common Multiple of 45,49,422 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 45,49,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,49,422) = 1

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

GCF(45,49,422) x common factors =1 x 1 = 1

LCM(45,49,422) = ( 45 × 49 × 422 ) / 1

LCM(45,49,422) = 930510 / 1

LCM(45,49,422) = 930510


Lets's calculate GCF of 956,875,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930510/1

Therefore the LCM of Fractions 45/956,49/875,422/788 is 930510

Greatest Common Factor of 956,875,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,875,788 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 956,875,788 . The biggest common factor number is the GCF number.
So the greatest common factor 956,875,788 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 45/956, 49/875, 422/788

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 45/956, 49/875, 422/788?

Answer: LCM of Numerators as per given numbers 45/956, 49/875, 422/788 is

LCM of Numerators i.e. for 45,49,422 is 930510

GCF of denominators i.e. for 956,875,788 is 1.

Thus, LCM of Fractions is 930510.Finally, LCM of Fractions for 45/956, 49/875, 422/788 is 930510.