Least Common Multiple of 238/43, 410/2175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/43, 410/2175 quickly i.e. 48790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/43, 410/2175 is 48790.

LCM(238/43, 410/2175) = 48790

LCM of 238/43, 410/2175

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 238/43,410/2175

Given numbers are 238/43,410/2175

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 238,410

Least Common Multiple of Numerators i.e. LCM of 238,410 is 48790.

GCF of Denominators means GCF of 43,2175 as per the given fractions.

GCF of 43,2175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,410

LCM of Fractions 238/43,410/2175 is 48790

2 238, 410
119, 205

∴ So the LCM of the given numbers is 2 x 119 x 205 = 48790

Least Common Multiple of 238,410 with GCF Formula

Least Common Multiple of 238,410 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 238,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,410) = 2

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

GCF(238,410) x common factors =2 x 1 = 2

LCM(238,410) = ( 238 × 410 ) / 2

LCM(238,410) = 97580 / 2

LCM(238,410) = 48790


Lets's calculate GCF of 43,2175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48790/1

Therefore the LCM of Fractions 238/43,410/2175 is 48790

Greatest Common Factor of 43,2175 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,2175 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1,3,5,15,25,29,75,87,145,435,725,2175

Greatest Common Factor

We found the factors 43,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 43,2175 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 238/43, 410/2175

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 238/43, 410/2175?

Answer: LCM of Numerators as per given numbers 238/43, 410/2175 is

LCM of Numerators i.e. for 238,410 is 48790

GCF of denominators i.e. for 43,2175 is 1.

Thus, LCM of Fractions is 48790.Finally, LCM of Fractions for 238/43, 410/2175 is 48790.