Least Common Multiple of 346/468, 9052/6396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/468, 9052/6396 quickly i.e. 1565996/156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/468, 9052/6396 is 1565996/156.

LCM(346/468, 9052/6396) = 1565996/156

LCM of 346/468, 9052/6396

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 346/468,9052/6396

Given numbers are 346/468,9052/6396

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 346,9052

Least Common Multiple of Numerators i.e. LCM of 346,9052 is 1565996.

GCF of Denominators means GCF of 468,6396 as per the given fractions.

GCF of 468,6396 is 156 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,9052

LCM of Fractions 346/468,9052/6396 is 1565996/156

2 346, 9052
173, 4526

∴ So the LCM of the given numbers is 2 x 173 x 4526 = 1565996

Least Common Multiple of 346,9052 with GCF Formula

Least Common Multiple of 346,9052 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 346,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,9052) = 2

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

GCF(346,9052) x common factors =2 x 1 = 2

LCM(346,9052) = ( 346 × 9052 ) / 2

LCM(346,9052) = 3131992 / 2

LCM(346,9052) = 1565996


Lets's calculate GCF of 468,6396

2 468, 6396
2 234, 3198
3 117, 1599
13 39, 533
3, 41

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1565996/156

Therefore the LCM of Fractions 346/468,9052/6396 is 1565996/156

Greatest Common Factor of 468,6396 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,6396 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 6396

List of positive integer factors of 6396 that divides 6396 without a remainder.

1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396

Greatest Common Factor

We found the factors 468,6396 . The biggest common factor number is the GCF number.
So the greatest common factor 468,6396 is 156.


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 346/468, 9052/6396

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 346/468, 9052/6396?

Answer: LCM of Numerators as per given numbers 346/468, 9052/6396 is

LCM of Numerators i.e. for 346,9052 is 1565996

GCF of denominators i.e. for 468,6396 is 156.

Thus, LCM of Fractions is 1565996/156.Finally, LCM of Fractions for 346/468, 9052/6396 is 1565996/156.