Least Common Multiple of 458/352, 3142/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/352, 3142/653 quickly i.e. 719518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/352, 3142/653 is 719518.

LCM(458/352, 3142/653) = 719518

LCM of 458/352, 3142/653

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 458/352,3142/653

Given numbers are 458/352,3142/653

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 458,3142

Least Common Multiple of Numerators i.e. LCM of 458,3142 is 719518.

GCF of Denominators means GCF of 352,653 as per the given fractions.

GCF of 352,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,3142

LCM of Fractions 458/352,3142/653 is 719518

2 458, 3142
229, 1571

∴ So the LCM of the given numbers is 2 x 229 x 1571 = 719518

Least Common Multiple of 458,3142 with GCF Formula

Least Common Multiple of 458,3142 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 458,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,3142) = 2

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

GCF(458,3142) x common factors =2 x 1 = 2

LCM(458,3142) = ( 458 × 3142 ) / 2

LCM(458,3142) = 1439036 / 2

LCM(458,3142) = 719518


Lets's calculate GCF of 352,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 719518/1

Therefore the LCM of Fractions 458/352,3142/653 is 719518

Greatest Common Factor of 352,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,653 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 352,653 . The biggest common factor number is the GCF number.
So the greatest common factor 352,653 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 458/352, 3142/653

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 458/352, 3142/653?

Answer: LCM of Numerators as per given numbers 458/352, 3142/653 is

LCM of Numerators i.e. for 458,3142 is 719518

GCF of denominators i.e. for 352,653 is 1.

Thus, LCM of Fractions is 719518.Finally, LCM of Fractions for 458/352, 3142/653 is 719518.