Least Common Multiple of 9071/41, 3088/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9071/41, 3088/438 quickly i.e. 145136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9071/41, 3088/438 is 145136.

LCM(9071/41, 3088/438) = 145136

LCM of 9071/41, 3088/438

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 9071/41,3088/438

Given numbers are 9071/41,3088/438

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 9071,3088

Least Common Multiple of Numerators i.e. LCM of 9071,3088 is 145136.

GCF of Denominators means GCF of 41,438 as per the given fractions.

GCF of 41,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9071,3088

LCM of Fractions 9071/41,3088/438 is 145136

193 9071, 3088
47, 16

∴ So the LCM of the given numbers is 193 x 47 x 16 = 145136

Least Common Multiple of 9071,3088 with GCF Formula

Least Common Multiple of 9071,3088 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 9071,3088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9071,3088) = 193

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

GCF(9071,3088) x common factors =193 x 1 = 193

LCM(9071,3088) = ( 9071 × 3088 ) / 193

LCM(9071,3088) = 28011248 / 193

LCM(9071,3088) = 145136


Lets's calculate GCF of 41,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145136/1

Therefore the LCM of Fractions 9071/41,3088/438 is 145136

Greatest Common Factor of 41,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,438 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 41,438 . The biggest common factor number is the GCF number.
So the greatest common factor 41,438 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9071/41, 3088/438

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 9071/41, 3088/438?

Answer: LCM of Numerators as per given numbers 9071/41, 3088/438 is

LCM of Numerators i.e. for 9071,3088 is 145136

GCF of denominators i.e. for 41,438 is 1.

Thus, LCM of Fractions is 145136.Finally, LCM of Fractions for 9071/41, 3088/438 is 145136.