Least Common Multiple of 7/12, 9/49, 95/71, 74/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/12, 9/49, 95/71, 74/119 quickly i.e. 442890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/12, 9/49, 95/71, 74/119 is 442890.

LCM(7/12, 9/49, 95/71, 74/119) = 442890

LCM of 7/12, 9/49, 95/71, 74/119

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 7/12,9/49,95/71,74/119

Given numbers are 7/12,9/49,95/71,74/119

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 7,9,95,74

Least Common Multiple of Numerators i.e. LCM of 7,9,95,74 is 442890.

GCF of Denominators means GCF of 12,49,71,119 as per the given fractions.

GCF of 12,49,71,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,9,95,74

LCM of Fractions 7/12,9/49,95/71,74/119 is 442890

Given numbers has no common factors except 1. So, there LCM is their product i.e 442890

Least Common Multiple of 7,9,95,74 with GCF Formula

Least Common Multiple of 7,9,95,74 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 7,9,95,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,9,95,74) = 1

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

GCF(7,9,95,74) x common factors =1 x 1 = 1

LCM(7,9,95,74) = ( 7 × 9 × 95 × 74 ) / 1

LCM(7,9,95,74) = 442890 / 1

LCM(7,9,95,74) = 442890


Lets's calculate GCF of 12,49,71,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442890/1

Therefore the LCM of Fractions 7/12,9/49,95/71,74/119 is 442890

Greatest Common Factor of 12,49,71,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,49,71,119 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 12,49,71,119 . The biggest common factor number is the GCF number.
So the greatest common factor 12,49,71,119 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 7/12, 9/49, 95/71, 74/119

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 7/12, 9/49, 95/71, 74/119?

Answer: LCM of Numerators as per given numbers 7/12, 9/49, 95/71, 74/119 is

LCM of Numerators i.e. for 7,9,95,74 is 442890

GCF of denominators i.e. for 12,49,71,119 is 1.

Thus, LCM of Fractions is 442890.Finally, LCM of Fractions for 7/12, 9/49, 95/71, 74/119 is 442890.