Least Common Multiple of 392/34, 598/5304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 392/34, 598/5304 quickly i.e. 117208/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/34, 598/5304 is 117208/34.

LCM(392/34, 598/5304) = 117208/34

LCM of 392/34, 598/5304

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 392/34,598/5304

Given numbers are 392/34,598/5304

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 392,598

Least Common Multiple of Numerators i.e. LCM of 392,598 is 117208.

GCF of Denominators means GCF of 34,5304 as per the given fractions.

GCF of 34,5304 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,598

LCM of Fractions 392/34,598/5304 is 117208/34

2 392, 598
196, 299

∴ So the LCM of the given numbers is 2 x 196 x 299 = 117208

Least Common Multiple of 392,598 with GCF Formula

Least Common Multiple of 392,598 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 392,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,598) = 2

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

GCF(392,598) x common factors =2 x 1 = 2

LCM(392,598) = ( 392 × 598 ) / 2

LCM(392,598) = 234416 / 2

LCM(392,598) = 117208


Lets's calculate GCF of 34,5304

2 34, 5304
17 17, 2652
1, 156

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117208/34

Therefore the LCM of Fractions 392/34,598/5304 is 117208/34

Greatest Common Factor of 34,5304 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,5304 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Greatest Common Factor

We found the factors 34,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5304 is 34.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 392/34, 598/5304

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 392/34, 598/5304?

Answer: LCM of Numerators as per given numbers 392/34, 598/5304 is

LCM of Numerators i.e. for 392,598 is 117208

GCF of denominators i.e. for 34,5304 is 34.

Thus, LCM of Fractions is 117208/34.Finally, LCM of Fractions for 392/34, 598/5304 is 117208/34.