Least Common Multiple of 5145/269, 3468/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5145/269, 3468/162 quickly i.e. 5947620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5145/269, 3468/162 is 5947620.

LCM(5145/269, 3468/162) = 5947620

LCM of 5145/269, 3468/162

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 5145/269,3468/162

Given numbers are 5145/269,3468/162

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 5145,3468

Least Common Multiple of Numerators i.e. LCM of 5145,3468 is 5947620.

GCF of Denominators means GCF of 269,162 as per the given fractions.

GCF of 269,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5145,3468

LCM of Fractions 5145/269,3468/162 is 5947620

3 5145, 3468
1715, 1156

∴ So the LCM of the given numbers is 3 x 1715 x 1156 = 5947620

Least Common Multiple of 5145,3468 with GCF Formula

Least Common Multiple of 5145,3468 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 5145,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5145,3468) = 3

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

GCF(5145,3468) x common factors =3 x 1 = 3

LCM(5145,3468) = ( 5145 × 3468 ) / 3

LCM(5145,3468) = 17842860 / 3

LCM(5145,3468) = 5947620


Lets's calculate GCF of 269,162

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5947620/1

Therefore the LCM of Fractions 5145/269,3468/162 is 5947620

Greatest Common Factor of 269,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,162 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 269,162 . The biggest common factor number is the GCF number.
So the greatest common factor 269,162 is 1.


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 5145/269, 3468/162

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 5145/269, 3468/162?

Answer: LCM of Numerators as per given numbers 5145/269, 3468/162 is

LCM of Numerators i.e. for 5145,3468 is 5947620

GCF of denominators i.e. for 269,162 is 1.

Thus, LCM of Fractions is 5947620.Finally, LCM of Fractions for 5145/269, 3468/162 is 5947620.