Least Common Multiple of 7912/474, 8058/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7912/474, 8058/472 quickly i.e. 15938724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7912/474, 8058/472 is 15938724.

LCM(7912/474, 8058/472) = 15938724

LCM of 7912/474, 8058/472

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 7912/474,8058/472

Given numbers are 7912/474,8058/472

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 7912,8058

Least Common Multiple of Numerators i.e. LCM of 7912,8058 is 31877448.

GCF of Denominators means GCF of 474,472 as per the given fractions.

GCF of 474,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7912,8058

LCM of Fractions 7912/474,8058/472 is 15938724

2 7912, 8058
3956, 4029

∴ So the LCM of the given numbers is 2 x 3956 x 4029 = 31877448

Least Common Multiple of 7912,8058 with GCF Formula

Least Common Multiple of 7912,8058 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 7912,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7912,8058) = 2

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

GCF(7912,8058) x common factors =2 x 1 = 2

LCM(7912,8058) = ( 7912 × 8058 ) / 2

LCM(7912,8058) = 63754896 / 2

LCM(7912,8058) = 31877448


Lets's calculate GCF of 474,472

2 474, 472
237, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31877448/2

Therefore the LCM of Fractions 7912/474,8058/472 is 15938724

Greatest Common Factor of 474,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,472 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 474,472 . The biggest common factor number is the GCF number.
So the greatest common factor 474,472 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 7912/474, 8058/472

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 7912/474, 8058/472?

Answer: LCM of Numerators as per given numbers 7912/474, 8058/472 is

LCM of Numerators i.e. for 7912,8058 is 31877448

GCF of denominators i.e. for 474,472 is 2.

Thus, LCM of Fractions is 15938724.Finally, LCM of Fractions for 7912/474, 8058/472 is 15938724.