Least Common Multiple of 8216/870, 3132/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8216/870, 3132/215 quickly i.e. 6433128/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8216/870, 3132/215 is 6433128/5.

LCM(8216/870, 3132/215) = 6433128/5

LCM of 8216/870, 3132/215

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 8216/870,3132/215

Given numbers are 8216/870,3132/215

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 8216,3132

Least Common Multiple of Numerators i.e. LCM of 8216,3132 is 6433128.

GCF of Denominators means GCF of 870,215 as per the given fractions.

GCF of 870,215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8216,3132

LCM of Fractions 8216/870,3132/215 is 6433128/5

2 8216, 3132
2 4108, 1566
2054, 783

∴ So the LCM of the given numbers is 2 x 2 x 2054 x 783 = 6433128

Least Common Multiple of 8216,3132 with GCF Formula

Least Common Multiple of 8216,3132 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 8216,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8216,3132) = 4

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

GCF(8216,3132) x common factors =4 x 1 = 4

LCM(8216,3132) = ( 8216 × 3132 ) / 4

LCM(8216,3132) = 25732512 / 4

LCM(8216,3132) = 6433128


Lets's calculate GCF of 870,215

5 870, 215
174, 43

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6433128/5

Therefore the LCM of Fractions 8216/870,3132/215 is 6433128/5

Greatest Common Factor of 870,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,215 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 870,215 . The biggest common factor number is the GCF number.
So the greatest common factor 870,215 is 5.


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 8216/870, 3132/215

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 8216/870, 3132/215?

Answer: LCM of Numerators as per given numbers 8216/870, 3132/215 is

LCM of Numerators i.e. for 8216,3132 is 6433128

GCF of denominators i.e. for 870,215 is 5.

Thus, LCM of Fractions is 6433128/5.Finally, LCM of Fractions for 8216/870, 3132/215 is 6433128/5.