Least Common Multiple of 149/68, 227/38, 418/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/68, 227/38, 418/22 quickly i.e. 7069007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/68, 227/38, 418/22 is 7069007.

LCM(149/68, 227/38, 418/22) = 7069007

LCM of 149/68, 227/38, 418/22

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 149/68,227/38,418/22

Given numbers are 149/68,227/38,418/22

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 149,227,418

Least Common Multiple of Numerators i.e. LCM of 149,227,418 is 14138014.

GCF of Denominators means GCF of 68,38,22 as per the given fractions.

GCF of 68,38,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,227,418

LCM of Fractions 149/68,227/38,418/22 is 7069007

Given numbers has no common factors except 1. So, there LCM is their product i.e 14138014

Least Common Multiple of 149,227,418 with GCF Formula

Least Common Multiple of 149,227,418 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 149,227,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,227,418) = 1

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

GCF(149,227,418) x common factors =1 x 1 = 1

LCM(149,227,418) = ( 149 × 227 × 418 ) / 1

LCM(149,227,418) = 14138014 / 1

LCM(149,227,418) = 14138014


Lets's calculate GCF of 68,38,22

2 68, 38, 22
34, 19, 11

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14138014/2

Therefore the LCM of Fractions 149/68,227/38,418/22 is 7069007

Greatest Common Factor of 68,38,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,38,22 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 22

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

1,2,11,22

Greatest Common Factor

We found the factors 68,38,22 . The biggest common factor number is the GCF number.
So the greatest common factor 68,38,22 is 2.


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 149/68, 227/38, 418/22

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 149/68, 227/38, 418/22?

Answer: LCM of Numerators as per given numbers 149/68, 227/38, 418/22 is

LCM of Numerators i.e. for 149,227,418 is 14138014

GCF of denominators i.e. for 68,38,22 is 2.

Thus, LCM of Fractions is 7069007.Finally, LCM of Fractions for 149/68, 227/38, 418/22 is 7069007.