Least Common Multiple of 352/292, 386/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/292, 386/454 quickly i.e. 33968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/292, 386/454 is 33968.

LCM(352/292, 386/454) = 33968

LCM of 352/292, 386/454

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 352/292,386/454

Given numbers are 352/292,386/454

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 352,386

Least Common Multiple of Numerators i.e. LCM of 352,386 is 67936.

GCF of Denominators means GCF of 292,454 as per the given fractions.

GCF of 292,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,386

LCM of Fractions 352/292,386/454 is 33968

2 352, 386
176, 193

∴ So the LCM of the given numbers is 2 x 176 x 193 = 67936

Least Common Multiple of 352,386 with GCF Formula

Least Common Multiple of 352,386 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 352,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,386) = 2

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

GCF(352,386) x common factors =2 x 1 = 2

LCM(352,386) = ( 352 × 386 ) / 2

LCM(352,386) = 135872 / 2

LCM(352,386) = 67936


Lets's calculate GCF of 292,454

2 292, 454
146, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67936/2

Therefore the LCM of Fractions 352/292,386/454 is 33968

Greatest Common Factor of 292,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,454 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 292,454 . The biggest common factor number is the GCF number.
So the greatest common factor 292,454 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 352/292, 386/454

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 352/292, 386/454?

Answer: LCM of Numerators as per given numbers 352/292, 386/454 is

LCM of Numerators i.e. for 352,386 is 67936

GCF of denominators i.e. for 292,454 is 2.

Thus, LCM of Fractions is 33968.Finally, LCM of Fractions for 352/292, 386/454 is 33968.