Least Common Multiple of 923/312, 2612/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/312, 2612/476 quickly i.e. 602719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/312, 2612/476 is 602719.

LCM(923/312, 2612/476) = 602719

LCM of 923/312, 2612/476

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 923/312,2612/476

Given numbers are 923/312,2612/476

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 923,2612

Least Common Multiple of Numerators i.e. LCM of 923,2612 is 2410876.

GCF of Denominators means GCF of 312,476 as per the given fractions.

GCF of 312,476 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,2612

LCM of Fractions 923/312,2612/476 is 602719

Given numbers has no common factors except 1. So, there LCM is their product i.e 2410876

Least Common Multiple of 923,2612 with GCF Formula

Least Common Multiple of 923,2612 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 923,2612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,2612) = 1

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

GCF(923,2612) x common factors =1 x 1 = 1

LCM(923,2612) = ( 923 × 2612 ) / 1

LCM(923,2612) = 2410876 / 1

LCM(923,2612) = 2410876


Lets's calculate GCF of 312,476

2 312, 476
2 156, 238
78, 119

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2410876/4

Therefore the LCM of Fractions 923/312,2612/476 is 602719

Greatest Common Factor of 312,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,476 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 312,476 . The biggest common factor number is the GCF number.
So the greatest common factor 312,476 is 4.


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 923/312, 2612/476

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 923/312, 2612/476?

Answer: LCM of Numerators as per given numbers 923/312, 2612/476 is

LCM of Numerators i.e. for 923,2612 is 2410876

GCF of denominators i.e. for 312,476 is 4.

Thus, LCM of Fractions is 602719.Finally, LCM of Fractions for 923/312, 2612/476 is 602719.