Least Common Multiple of 4512/141, 3769/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4512/141, 3769/117 quickly i.e. 5668576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4512/141, 3769/117 is 5668576.

LCM(4512/141, 3769/117) = 5668576

LCM of 4512/141, 3769/117

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 4512/141,3769/117

Given numbers are 4512/141,3769/117

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 4512,3769

Least Common Multiple of Numerators i.e. LCM of 4512,3769 is 17005728.

GCF of Denominators means GCF of 141,117 as per the given fractions.

GCF of 141,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4512,3769

LCM of Fractions 4512/141,3769/117 is 5668576

Given numbers has no common factors except 1. So, there LCM is their product i.e 17005728

Least Common Multiple of 4512,3769 with GCF Formula

Least Common Multiple of 4512,3769 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 4512,3769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4512,3769) = 1

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

GCF(4512,3769) x common factors =1 x 1 = 1

LCM(4512,3769) = ( 4512 × 3769 ) / 1

LCM(4512,3769) = 17005728 / 1

LCM(4512,3769) = 17005728


Lets's calculate GCF of 141,117

3 141, 117
47, 39

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17005728/3

Therefore the LCM of Fractions 4512/141,3769/117 is 5668576

Greatest Common Factor of 141,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,117 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 141,117 . The biggest common factor number is the GCF number.
So the greatest common factor 141,117 is 3.


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 4512/141, 3769/117

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 4512/141, 3769/117?

Answer: LCM of Numerators as per given numbers 4512/141, 3769/117 is

LCM of Numerators i.e. for 4512,3769 is 17005728

GCF of denominators i.e. for 141,117 is 3.

Thus, LCM of Fractions is 5668576.Finally, LCM of Fractions for 4512/141, 3769/117 is 5668576.