Least Common Multiple of 674/78, 604/2769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/78, 604/2769 quickly i.e. 203548/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/78, 604/2769 is 203548/39.

LCM(674/78, 604/2769) = 203548/39

LCM of 674/78, 604/2769

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 674/78,604/2769

Given numbers are 674/78,604/2769

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 674,604

Least Common Multiple of Numerators i.e. LCM of 674,604 is 203548.

GCF of Denominators means GCF of 78,2769 as per the given fractions.

GCF of 78,2769 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,604

LCM of Fractions 674/78,604/2769 is 203548/39

2 674, 604
337, 302

∴ So the LCM of the given numbers is 2 x 337 x 302 = 203548

Least Common Multiple of 674,604 with GCF Formula

Least Common Multiple of 674,604 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 674,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,604) = 2

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

GCF(674,604) x common factors =2 x 1 = 2

LCM(674,604) = ( 674 × 604 ) / 2

LCM(674,604) = 407096 / 2

LCM(674,604) = 203548


Lets's calculate GCF of 78,2769

3 78, 2769
13 26, 923
2, 71

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203548/39

Therefore the LCM of Fractions 674/78,604/2769 is 203548/39

Greatest Common Factor of 78,2769 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2769 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1,3,13,39,71,213,923,2769

Greatest Common Factor

We found the factors 78,2769 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2769 is 39.


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 674/78, 604/2769

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 674/78, 604/2769?

Answer: LCM of Numerators as per given numbers 674/78, 604/2769 is

LCM of Numerators i.e. for 674,604 is 203548

GCF of denominators i.e. for 78,2769 is 39.

Thus, LCM of Fractions is 203548/39.Finally, LCM of Fractions for 674/78, 604/2769 is 203548/39.