Least Common Multiple of 5692/474, 8548/7961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5692/474, 8548/7961 quickly i.e. 12163804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5692/474, 8548/7961 is 12163804.

LCM(5692/474, 8548/7961) = 12163804

LCM of 5692/474, 8548/7961

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 5692/474,8548/7961

Given numbers are 5692/474,8548/7961

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 5692,8548

Least Common Multiple of Numerators i.e. LCM of 5692,8548 is 12163804.

GCF of Denominators means GCF of 474,7961 as per the given fractions.

GCF of 474,7961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5692,8548

LCM of Fractions 5692/474,8548/7961 is 12163804

2 5692, 8548
2 2846, 4274
1423, 2137

∴ So the LCM of the given numbers is 2 x 2 x 1423 x 2137 = 12163804

Least Common Multiple of 5692,8548 with GCF Formula

Least Common Multiple of 5692,8548 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 5692,8548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5692,8548) = 4

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

GCF(5692,8548) x common factors =4 x 1 = 4

LCM(5692,8548) = ( 5692 × 8548 ) / 4

LCM(5692,8548) = 48655216 / 4

LCM(5692,8548) = 12163804


Lets's calculate GCF of 474,7961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12163804/1

Therefore the LCM of Fractions 5692/474,8548/7961 is 12163804

Greatest Common Factor of 474,7961 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,7961 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 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1,19,419,7961

Greatest Common Factor

We found the factors 474,7961 . The biggest common factor number is the GCF number.
So the greatest common factor 474,7961 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 5692/474, 8548/7961

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 5692/474, 8548/7961?

Answer: LCM of Numerators as per given numbers 5692/474, 8548/7961 is

LCM of Numerators i.e. for 5692,8548 is 12163804

GCF of denominators i.e. for 474,7961 is 1.

Thus, LCM of Fractions is 12163804.Finally, LCM of Fractions for 5692/474, 8548/7961 is 12163804.