Least Common Multiple of 922/423, 648/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/423, 648/951 quickly i.e. 99576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/423, 648/951 is 99576.

LCM(922/423, 648/951) = 99576

LCM of 922/423, 648/951

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 922/423,648/951

Given numbers are 922/423,648/951

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 922,648

Least Common Multiple of Numerators i.e. LCM of 922,648 is 298728.

GCF of Denominators means GCF of 423,951 as per the given fractions.

GCF of 423,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,648

LCM of Fractions 922/423,648/951 is 99576

2 922, 648
461, 324

∴ So the LCM of the given numbers is 2 x 461 x 324 = 298728

Least Common Multiple of 922,648 with GCF Formula

Least Common Multiple of 922,648 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 922,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,648) = 2

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

GCF(922,648) x common factors =2 x 1 = 2

LCM(922,648) = ( 922 × 648 ) / 2

LCM(922,648) = 597456 / 2

LCM(922,648) = 298728


Lets's calculate GCF of 423,951

3 423, 951
141, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298728/3

Therefore the LCM of Fractions 922/423,648/951 is 99576

Greatest Common Factor of 423,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,951 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 423,951 . The biggest common factor number is the GCF number.
So the greatest common factor 423,951 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 922/423, 648/951

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 922/423, 648/951?

Answer: LCM of Numerators as per given numbers 922/423, 648/951 is

LCM of Numerators i.e. for 922,648 is 298728

GCF of denominators i.e. for 423,951 is 3.

Thus, LCM of Fractions is 99576.Finally, LCM of Fractions for 922/423, 648/951 is 99576.