Least Common Multiple of 315/828, 7469/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/828, 7469/162 quickly i.e. 336105/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/828, 7469/162 is 336105/18.

LCM(315/828, 7469/162) = 336105/18

LCM of 315/828, 7469/162

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 315/828,7469/162

Given numbers are 315/828,7469/162

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 315,7469

Least Common Multiple of Numerators i.e. LCM of 315,7469 is 336105.

GCF of Denominators means GCF of 828,162 as per the given fractions.

GCF of 828,162 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,7469

LCM of Fractions 315/828,7469/162 is 336105/18

7 315, 7469
45, 1067

∴ So the LCM of the given numbers is 7 x 45 x 1067 = 336105

Least Common Multiple of 315,7469 with GCF Formula

Least Common Multiple of 315,7469 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 315,7469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,7469) = 7

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

GCF(315,7469) x common factors =7 x 1 = 7

LCM(315,7469) = ( 315 × 7469 ) / 7

LCM(315,7469) = 2352735 / 7

LCM(315,7469) = 336105


Lets's calculate GCF of 828,162

2 828, 162
3 414, 81
3 138, 27
46, 9

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336105/18

Therefore the LCM of Fractions 315/828,7469/162 is 336105/18

Greatest Common Factor of 828,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,162 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

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 828,162 . The biggest common factor number is the GCF number.
So the greatest common factor 828,162 is 18.


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 315/828, 7469/162

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 315/828, 7469/162?

Answer: LCM of Numerators as per given numbers 315/828, 7469/162 is

LCM of Numerators i.e. for 315,7469 is 336105

GCF of denominators i.e. for 828,162 is 18.

Thus, LCM of Fractions is 336105/18.Finally, LCM of Fractions for 315/828, 7469/162 is 336105/18.