Least Common Multiple of 460/114, 9462/5922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/114, 9462/5922 quickly i.e. 362710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/114, 9462/5922 is 362710.

LCM(460/114, 9462/5922) = 362710

LCM of 460/114, 9462/5922

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 460/114,9462/5922

Given numbers are 460/114,9462/5922

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 460,9462

Least Common Multiple of Numerators i.e. LCM of 460,9462 is 2176260.

GCF of Denominators means GCF of 114,5922 as per the given fractions.

GCF of 114,5922 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,9462

LCM of Fractions 460/114,9462/5922 is 362710

2 460, 9462
230, 4731

∴ So the LCM of the given numbers is 2 x 230 x 4731 = 2176260

Least Common Multiple of 460,9462 with GCF Formula

Least Common Multiple of 460,9462 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 460,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,9462) = 2

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

GCF(460,9462) x common factors =2 x 1 = 2

LCM(460,9462) = ( 460 × 9462 ) / 2

LCM(460,9462) = 4352520 / 2

LCM(460,9462) = 2176260


Lets's calculate GCF of 114,5922

2 114, 5922
3 57, 2961
19, 987

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2176260/6

Therefore the LCM of Fractions 460/114,9462/5922 is 362710

Greatest Common Factor of 114,5922 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,5922 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Greatest Common Factor

We found the factors 114,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 114,5922 is 6.


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 460/114, 9462/5922

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 460/114, 9462/5922?

Answer: LCM of Numerators as per given numbers 460/114, 9462/5922 is

LCM of Numerators i.e. for 460,9462 is 2176260

GCF of denominators i.e. for 114,5922 is 6.

Thus, LCM of Fractions is 362710.Finally, LCM of Fractions for 460/114, 9462/5922 is 362710.