Least Common Multiple of 149/33, 612/87, 107/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/33, 612/87, 107/442 quickly i.e. 9757116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/33, 612/87, 107/442 is 9757116.

LCM(149/33, 612/87, 107/442) = 9757116

LCM of 149/33, 612/87, 107/442

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 149/33,612/87,107/442

Given numbers are 149/33,612/87,107/442

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 149,612,107

Least Common Multiple of Numerators i.e. LCM of 149,612,107 is 9757116.

GCF of Denominators means GCF of 33,87,442 as per the given fractions.

GCF of 33,87,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,612,107

LCM of Fractions 149/33,612/87,107/442 is 9757116

Given numbers has no common factors except 1. So, there LCM is their product i.e 9757116

Least Common Multiple of 149,612,107 with GCF Formula

Least Common Multiple of 149,612,107 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 149,612,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,612,107) = 1

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

GCF(149,612,107) x common factors =1 x 1 = 1

LCM(149,612,107) = ( 149 × 612 × 107 ) / 1

LCM(149,612,107) = 9757116 / 1

LCM(149,612,107) = 9757116


Lets's calculate GCF of 33,87,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9757116/1

Therefore the LCM of Fractions 149/33,612/87,107/442 is 9757116

Greatest Common Factor of 33,87,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,87,442 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 33,87,442 . The biggest common factor number is the GCF number.
So the greatest common factor 33,87,442 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 149/33, 612/87, 107/442

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 149/33, 612/87, 107/442?

Answer: LCM of Numerators as per given numbers 149/33, 612/87, 107/442 is

LCM of Numerators i.e. for 149,612,107 is 9757116

GCF of denominators i.e. for 33,87,442 is 1.

Thus, LCM of Fractions is 9757116.Finally, LCM of Fractions for 149/33, 612/87, 107/442 is 9757116.