Least Common Multiple of 301/176, 3374/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/176, 3374/230 quickly i.e. 72541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/176, 3374/230 is 72541.

LCM(301/176, 3374/230) = 72541

LCM of 301/176, 3374/230

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 301/176,3374/230

Given numbers are 301/176,3374/230

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 301,3374

Least Common Multiple of Numerators i.e. LCM of 301,3374 is 145082.

GCF of Denominators means GCF of 176,230 as per the given fractions.

GCF of 176,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,3374

LCM of Fractions 301/176,3374/230 is 72541

7 301, 3374
43, 482

∴ So the LCM of the given numbers is 7 x 43 x 482 = 145082

Least Common Multiple of 301,3374 with GCF Formula

Least Common Multiple of 301,3374 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 301,3374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,3374) = 7

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

GCF(301,3374) x common factors =7 x 1 = 7

LCM(301,3374) = ( 301 × 3374 ) / 7

LCM(301,3374) = 1015574 / 7

LCM(301,3374) = 145082


Lets's calculate GCF of 176,230

2 176, 230
88, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145082/2

Therefore the LCM of Fractions 301/176,3374/230 is 72541

Greatest Common Factor of 176,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,230 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

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

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 176,230 . The biggest common factor number is the GCF number.
So the greatest common factor 176,230 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 301/176, 3374/230

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 301/176, 3374/230?

Answer: LCM of Numerators as per given numbers 301/176, 3374/230 is

LCM of Numerators i.e. for 301,3374 is 145082

GCF of denominators i.e. for 176,230 is 2.

Thus, LCM of Fractions is 72541.Finally, LCM of Fractions for 301/176, 3374/230 is 72541.