Least Common Multiple of 45/119, 3048/1352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/119, 3048/1352 quickly i.e. 45720 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, 3048/1352 is 45720.

LCM(45/119, 3048/1352) = 45720

LCM of 45/119, 3048/1352

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 45/119,3048/1352

Given numbers are 45/119,3048/1352

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 45,3048

Least Common Multiple of Numerators i.e. LCM of 45,3048 is 45720.

GCF of Denominators means GCF of 119,1352 as per the given fractions.

GCF of 119,1352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3048

LCM of Fractions 45/119,3048/1352 is 45720

3 45, 3048
15, 1016

∴ So the LCM of the given numbers is 3 x 15 x 1016 = 45720

Least Common Multiple of 45,3048 with GCF Formula

Least Common Multiple of 45,3048 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 45,3048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3048) = 3

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

GCF(45,3048) x common factors =3 x 1 = 3

LCM(45,3048) = ( 45 × 3048 ) / 3

LCM(45,3048) = 137160 / 3

LCM(45,3048) = 45720


Lets's calculate GCF of 119,1352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45720/1

Therefore the LCM of Fractions 45/119,3048/1352 is 45720

Greatest Common Factor of 119,1352 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,1352 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 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1,2,4,8,13,26,52,104,169,338,676,1352

Greatest Common Factor

We found the factors 119,1352 . The biggest common factor number is the GCF number.
So the greatest common factor 119,1352 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, 3048/1352

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, 3048/1352?

Answer: LCM of Numerators as per given numbers 45/119, 3048/1352 is

LCM of Numerators i.e. for 45,3048 is 45720

GCF of denominators i.e. for 119,1352 is 1.

Thus, LCM of Fractions is 45720.Finally, LCM of Fractions for 45/119, 3048/1352 is 45720.