Least Common Multiple of 47/91, 569/71, 138/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/91, 569/71, 138/149 quickly i.e. 3690534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/91, 569/71, 138/149 is 3690534.

LCM(47/91, 569/71, 138/149) = 3690534

LCM of 47/91, 569/71, 138/149

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 47/91,569/71,138/149

Given numbers are 47/91,569/71,138/149

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 47,569,138

Least Common Multiple of Numerators i.e. LCM of 47,569,138 is 3690534.

GCF of Denominators means GCF of 91,71,149 as per the given fractions.

GCF of 91,71,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,569,138

LCM of Fractions 47/91,569/71,138/149 is 3690534

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690534

Least Common Multiple of 47,569,138 with GCF Formula

Least Common Multiple of 47,569,138 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 47,569,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,569,138) = 1

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

GCF(47,569,138) x common factors =1 x 1 = 1

LCM(47,569,138) = ( 47 × 569 × 138 ) / 1

LCM(47,569,138) = 3690534 / 1

LCM(47,569,138) = 3690534


Lets's calculate GCF of 91,71,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3690534/1

Therefore the LCM of Fractions 47/91,569/71,138/149 is 3690534

Greatest Common Factor of 91,71,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,71,149 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 71

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

1,71

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 91,71,149 . The biggest common factor number is the GCF number.
So the greatest common factor 91,71,149 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 47/91, 569/71, 138/149

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 47/91, 569/71, 138/149?

Answer: LCM of Numerators as per given numbers 47/91, 569/71, 138/149 is

LCM of Numerators i.e. for 47,569,138 is 3690534

GCF of denominators i.e. for 91,71,149 is 1.

Thus, LCM of Fractions is 3690534.Finally, LCM of Fractions for 47/91, 569/71, 138/149 is 3690534.