Least Common Multiple of 130/964, 111/812, 215/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/964, 111/812, 215/156 quickly i.e. 620490/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/964, 111/812, 215/156 is 620490/4.

LCM(130/964, 111/812, 215/156) = 620490/4

LCM of 130/964, 111/812, 215/156

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 130/964,111/812,215/156

Given numbers are 130/964,111/812,215/156

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 130,111,215

Least Common Multiple of Numerators i.e. LCM of 130,111,215 is 620490.

GCF of Denominators means GCF of 964,812,156 as per the given fractions.

GCF of 964,812,156 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,111,215

LCM of Fractions 130/964,111/812,215/156 is 620490/4

5 130, 111, 215
26, 111, 43

∴ So the LCM of the given numbers is 5 x 26 x 111 x 43 = 620490

Least Common Multiple of 130,111,215 with GCF Formula

Least Common Multiple of 130,111,215 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 130,111,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,111,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(130,111,215) x common factors =1 x 5 = 5

LCM(130,111,215) = ( 130 × 111 × 215 ) / 5

LCM(130,111,215) = 3102450 / 5

LCM(130,111,215) = 620490


Lets's calculate GCF of 964,812,156

2 964, 812, 156
2 482, 406, 78
241, 203, 39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620490/4

Therefore the LCM of Fractions 130/964,111/812,215/156 is 620490/4

Greatest Common Factor of 964,812,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,812,156 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 964,812,156 . The biggest common factor number is the GCF number.
So the greatest common factor 964,812,156 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 130/964, 111/812, 215/156

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 130/964, 111/812, 215/156?

Answer: LCM of Numerators as per given numbers 130/964, 111/812, 215/156 is

LCM of Numerators i.e. for 130,111,215 is 620490

GCF of denominators i.e. for 964,812,156 is 4.

Thus, LCM of Fractions is 620490/4.Finally, LCM of Fractions for 130/964, 111/812, 215/156 is 620490/4.