Least Common Multiple of 144/884, 6074/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/884, 6074/715 quickly i.e. 437328/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/884, 6074/715 is 437328/13.

LCM(144/884, 6074/715) = 437328/13

LCM of 144/884, 6074/715

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 144/884,6074/715

Given numbers are 144/884,6074/715

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 144,6074

Least Common Multiple of Numerators i.e. LCM of 144,6074 is 437328.

GCF of Denominators means GCF of 884,715 as per the given fractions.

GCF of 884,715 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,6074

LCM of Fractions 144/884,6074/715 is 437328/13

2 144, 6074
72, 3037

∴ So the LCM of the given numbers is 2 x 72 x 3037 = 437328

Least Common Multiple of 144,6074 with GCF Formula

Least Common Multiple of 144,6074 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 144,6074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,6074) = 2

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

GCF(144,6074) x common factors =2 x 1 = 2

LCM(144,6074) = ( 144 × 6074 ) / 2

LCM(144,6074) = 874656 / 2

LCM(144,6074) = 437328


Lets's calculate GCF of 884,715

13 884, 715
68, 55

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 437328/13

Therefore the LCM of Fractions 144/884,6074/715 is 437328/13

Greatest Common Factor of 884,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,715 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 884,715 . The biggest common factor number is the GCF number.
So the greatest common factor 884,715 is 13.


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 144/884, 6074/715

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 144/884, 6074/715?

Answer: LCM of Numerators as per given numbers 144/884, 6074/715 is

LCM of Numerators i.e. for 144,6074 is 437328

GCF of denominators i.e. for 884,715 is 13.

Thus, LCM of Fractions is 437328/13.Finally, LCM of Fractions for 144/884, 6074/715 is 437328/13.