Least Common Multiple of 149/71, 241/13, 106/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/71, 241/13, 106/860 quickly i.e. 3806354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/71, 241/13, 106/860 is 3806354.

LCM(149/71, 241/13, 106/860) = 3806354

LCM of 149/71, 241/13, 106/860

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 149/71,241/13,106/860

Given numbers are 149/71,241/13,106/860

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 149,241,106

Least Common Multiple of Numerators i.e. LCM of 149,241,106 is 3806354.

GCF of Denominators means GCF of 71,13,860 as per the given fractions.

GCF of 71,13,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,241,106

LCM of Fractions 149/71,241/13,106/860 is 3806354

Given numbers has no common factors except 1. So, there LCM is their product i.e 3806354

Least Common Multiple of 149,241,106 with GCF Formula

Least Common Multiple of 149,241,106 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 149,241,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,241,106) = 1

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

GCF(149,241,106) x common factors =1 x 1 = 1

LCM(149,241,106) = ( 149 × 241 × 106 ) / 1

LCM(149,241,106) = 3806354 / 1

LCM(149,241,106) = 3806354


Lets's calculate GCF of 71,13,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3806354/1

Therefore the LCM of Fractions 149/71,241/13,106/860 is 3806354

Greatest Common Factor of 71,13,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,13,860 By Matching Biggest Common Factor Method

Factors of 71

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

1,71

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 71,13,860 . The biggest common factor number is the GCF number.
So the greatest common factor 71,13,860 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 149/71, 241/13, 106/860

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 149/71, 241/13, 106/860?

Answer: LCM of Numerators as per given numbers 149/71, 241/13, 106/860 is

LCM of Numerators i.e. for 149,241,106 is 3806354

GCF of denominators i.e. for 71,13,860 is 1.

Thus, LCM of Fractions is 3806354.Finally, LCM of Fractions for 149/71, 241/13, 106/860 is 3806354.