Least Common Multiple of 3/49, 1/67, 3/22, 95/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/49, 1/67, 3/22, 95/273 quickly i.e. 285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/49, 1/67, 3/22, 95/273 is 285.

LCM(3/49, 1/67, 3/22, 95/273) = 285

LCM of 3/49, 1/67, 3/22, 95/273

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 3/49,1/67,3/22,95/273

Given numbers are 3/49,1/67,3/22,95/273

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 3,1,3,95

Least Common Multiple of Numerators i.e. LCM of 3,1,3,95 is 285.

GCF of Denominators means GCF of 49,67,22,273 as per the given fractions.

GCF of 49,67,22,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,1,3,95

LCM of Fractions 3/49,1/67,3/22,95/273 is 285

3 3, 1, 3, 95
1, 1, 1, 95

∴ So the LCM of the given numbers is 3 x 1 x 1 x 1 x 95 = 285

Least Common Multiple of 3,1,3,95 with GCF Formula

Least Common Multiple of 3,1,3,95 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 3,1,3,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,1,3,95) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,1,3,95) x common factors =1 x 3 = 3

LCM(3,1,3,95) = ( 3 × 1 × 3 × 95 ) / 3

LCM(3,1,3,95) = 855 / 3

LCM(3,1,3,95) = 285


Lets's calculate GCF of 49,67,22,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285/1

Therefore the LCM of Fractions 3/49,1/67,3/22,95/273 is 285

Greatest Common Factor of 49,67,22,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,67,22,273 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 49,67,22,273 . The biggest common factor number is the GCF number.
So the greatest common factor 49,67,22,273 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 3/49, 1/67, 3/22, 95/273

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 3/49, 1/67, 3/22, 95/273?

Answer: LCM of Numerators as per given numbers 3/49, 1/67, 3/22, 95/273 is

LCM of Numerators i.e. for 3,1,3,95 is 285

GCF of denominators i.e. for 49,67,22,273 is 1.

Thus, LCM of Fractions is 285.Finally, LCM of Fractions for 3/49, 1/67, 3/22, 95/273 is 285.