Least Common Multiple of 250/134, 456/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 250/134, 456/358 quickly i.e. 28500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/134, 456/358 is 28500.

LCM(250/134, 456/358) = 28500

LCM of 250/134, 456/358

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 250/134,456/358

Given numbers are 250/134,456/358

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 250,456

Least Common Multiple of Numerators i.e. LCM of 250,456 is 57000.

GCF of Denominators means GCF of 134,358 as per the given fractions.

GCF of 134,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,456

LCM of Fractions 250/134,456/358 is 28500

2 250, 456
125, 228

∴ So the LCM of the given numbers is 2 x 125 x 228 = 57000

Least Common Multiple of 250,456 with GCF Formula

Least Common Multiple of 250,456 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 250,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,456) = 2

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

GCF(250,456) x common factors =2 x 1 = 2

LCM(250,456) = ( 250 × 456 ) / 2

LCM(250,456) = 114000 / 2

LCM(250,456) = 57000


Lets's calculate GCF of 134,358

2 134, 358
67, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57000/2

Therefore the LCM of Fractions 250/134,456/358 is 28500

Greatest Common Factor of 134,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,358 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 134,358 . The biggest common factor number is the GCF number.
So the greatest common factor 134,358 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 250/134, 456/358

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 250/134, 456/358?

Answer: LCM of Numerators as per given numbers 250/134, 456/358 is

LCM of Numerators i.e. for 250,456 is 57000

GCF of denominators i.e. for 134,358 is 2.

Thus, LCM of Fractions is 28500.Finally, LCM of Fractions for 250/134, 456/358 is 28500.