Least Common Multiple of 348/836, 5290/9696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/836, 5290/9696 quickly i.e. 230115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/836, 5290/9696 is 230115.

LCM(348/836, 5290/9696) = 230115

LCM of 348/836, 5290/9696

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 348/836,5290/9696

Given numbers are 348/836,5290/9696

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 348,5290

Least Common Multiple of Numerators i.e. LCM of 348,5290 is 920460.

GCF of Denominators means GCF of 836,9696 as per the given fractions.

GCF of 836,9696 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,5290

LCM of Fractions 348/836,5290/9696 is 230115

2 348, 5290
174, 2645

∴ So the LCM of the given numbers is 2 x 174 x 2645 = 920460

Least Common Multiple of 348,5290 with GCF Formula

Least Common Multiple of 348,5290 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 348,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,5290) = 2

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

GCF(348,5290) x common factors =2 x 1 = 2

LCM(348,5290) = ( 348 × 5290 ) / 2

LCM(348,5290) = 1840920 / 2

LCM(348,5290) = 920460


Lets's calculate GCF of 836,9696

2 836, 9696
2 418, 4848
209, 2424

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920460/4

Therefore the LCM of Fractions 348/836,5290/9696 is 230115

Greatest Common Factor of 836,9696 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,9696 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Greatest Common Factor

We found the factors 836,9696 . The biggest common factor number is the GCF number.
So the greatest common factor 836,9696 is 4.


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 348/836, 5290/9696

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 348/836, 5290/9696?

Answer: LCM of Numerators as per given numbers 348/836, 5290/9696 is

LCM of Numerators i.e. for 348,5290 is 920460

GCF of denominators i.e. for 836,9696 is 4.

Thus, LCM of Fractions is 230115.Finally, LCM of Fractions for 348/836, 5290/9696 is 230115.