Least Common Multiple of 674/72, 392/3550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/72, 392/3550 quickly i.e. 66052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/72, 392/3550 is 66052.

LCM(674/72, 392/3550) = 66052

LCM of 674/72, 392/3550

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 674/72,392/3550

Given numbers are 674/72,392/3550

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 674,392

Least Common Multiple of Numerators i.e. LCM of 674,392 is 132104.

GCF of Denominators means GCF of 72,3550 as per the given fractions.

GCF of 72,3550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,392

LCM of Fractions 674/72,392/3550 is 66052

2 674, 392
337, 196

∴ So the LCM of the given numbers is 2 x 337 x 196 = 132104

Least Common Multiple of 674,392 with GCF Formula

Least Common Multiple of 674,392 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 674,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,392) = 2

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

GCF(674,392) x common factors =2 x 1 = 2

LCM(674,392) = ( 674 × 392 ) / 2

LCM(674,392) = 264208 / 2

LCM(674,392) = 132104


Lets's calculate GCF of 72,3550

2 72, 3550
36, 1775

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132104/2

Therefore the LCM of Fractions 674/72,392/3550 is 66052

Greatest Common Factor of 72,3550 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3550 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3550

List of positive integer factors of 3550 that divides 3550 without a remainder.

1,2,5,10,25,50,71,142,355,710,1775,3550

Greatest Common Factor

We found the factors 72,3550 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3550 is 2.


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 674/72, 392/3550

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 674/72, 392/3550?

Answer: LCM of Numerators as per given numbers 674/72, 392/3550 is

LCM of Numerators i.e. for 674,392 is 132104

GCF of denominators i.e. for 72,3550 is 2.

Thus, LCM of Fractions is 66052.Finally, LCM of Fractions for 674/72, 392/3550 is 66052.