Least Common Multiple of 45/119, 2982/8214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/119, 2982/8214 quickly i.e. 44730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/119, 2982/8214 is 44730.

LCM(45/119, 2982/8214) = 44730

LCM of 45/119, 2982/8214

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 45/119,2982/8214

Given numbers are 45/119,2982/8214

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 45,2982

Least Common Multiple of Numerators i.e. LCM of 45,2982 is 44730.

GCF of Denominators means GCF of 119,8214 as per the given fractions.

GCF of 119,8214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,2982

LCM of Fractions 45/119,2982/8214 is 44730

3 45, 2982
15, 994

∴ So the LCM of the given numbers is 3 x 15 x 994 = 44730

Least Common Multiple of 45,2982 with GCF Formula

Least Common Multiple of 45,2982 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 45,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,2982) = 3

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

GCF(45,2982) x common factors =3 x 1 = 3

LCM(45,2982) = ( 45 × 2982 ) / 3

LCM(45,2982) = 134190 / 3

LCM(45,2982) = 44730


Lets's calculate GCF of 119,8214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44730/1

Therefore the LCM of Fractions 45/119,2982/8214 is 44730

Greatest Common Factor of 119,8214 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,8214 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1,2,3,6,37,74,111,222,1369,2738,4107,8214

Greatest Common Factor

We found the factors 119,8214 . The biggest common factor number is the GCF number.
So the greatest common factor 119,8214 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 45/119, 2982/8214

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 45/119, 2982/8214?

Answer: LCM of Numerators as per given numbers 45/119, 2982/8214 is

LCM of Numerators i.e. for 45,2982 is 44730

GCF of denominators i.e. for 119,8214 is 1.

Thus, LCM of Fractions is 44730.Finally, LCM of Fractions for 45/119, 2982/8214 is 44730.