Least Common Multiple of 458/74, 134/6731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/74, 134/6731 quickly i.e. 30686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/74, 134/6731 is 30686.

LCM(458/74, 134/6731) = 30686

LCM of 458/74, 134/6731

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 458/74,134/6731

Given numbers are 458/74,134/6731

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 458,134

Least Common Multiple of Numerators i.e. LCM of 458,134 is 30686.

GCF of Denominators means GCF of 74,6731 as per the given fractions.

GCF of 74,6731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,134

LCM of Fractions 458/74,134/6731 is 30686

2 458, 134
229, 67

∴ So the LCM of the given numbers is 2 x 229 x 67 = 30686

Least Common Multiple of 458,134 with GCF Formula

Least Common Multiple of 458,134 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 458,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,134) = 2

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

GCF(458,134) x common factors =2 x 1 = 2

LCM(458,134) = ( 458 × 134 ) / 2

LCM(458,134) = 61372 / 2

LCM(458,134) = 30686


Lets's calculate GCF of 74,6731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30686/1

Therefore the LCM of Fractions 458/74,134/6731 is 30686

Greatest Common Factor of 74,6731 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,6731 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 6731

List of positive integer factors of 6731 that divides 6731 without a remainder.

1,53,127,6731

Greatest Common Factor

We found the factors 74,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 74,6731 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 458/74, 134/6731

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 458/74, 134/6731?

Answer: LCM of Numerators as per given numbers 458/74, 134/6731 is

LCM of Numerators i.e. for 458,134 is 30686

GCF of denominators i.e. for 74,6731 is 1.

Thus, LCM of Fractions is 30686.Finally, LCM of Fractions for 458/74, 134/6731 is 30686.