Least Common Multiple of 67/364, 639/728, 105/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/364, 639/728, 105/130 quickly i.e. 1498455/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/364, 639/728, 105/130 is 1498455/26.

LCM(67/364, 639/728, 105/130) = 1498455/26

LCM of 67/364, 639/728, 105/130

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 67/364,639/728,105/130

Given numbers are 67/364,639/728,105/130

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 67,639,105

Least Common Multiple of Numerators i.e. LCM of 67,639,105 is 1498455.

GCF of Denominators means GCF of 364,728,130 as per the given fractions.

GCF of 364,728,130 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,639,105

LCM of Fractions 67/364,639/728,105/130 is 1498455/26

3 67, 639, 105
67, 213, 35

∴ So the LCM of the given numbers is 3 x 67 x 213 x 35 = 1498455

Least Common Multiple of 67,639,105 with GCF Formula

Least Common Multiple of 67,639,105 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 67,639,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,639,105) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(67,639,105) x common factors =1 x 3 = 3

LCM(67,639,105) = ( 67 × 639 × 105 ) / 3

LCM(67,639,105) = 4495365 / 3

LCM(67,639,105) = 1498455


Lets's calculate GCF of 364,728,130

2 364, 728, 130
13 182, 364, 65
14, 28, 5

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1498455/26

Therefore the LCM of Fractions 67/364,639/728,105/130 is 1498455/26

Greatest Common Factor of 364,728,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,728,130 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 364,728,130 . The biggest common factor number is the GCF number.
So the greatest common factor 364,728,130 is 26.


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 67/364, 639/728, 105/130

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 67/364, 639/728, 105/130?

Answer: LCM of Numerators as per given numbers 67/364, 639/728, 105/130 is

LCM of Numerators i.e. for 67,639,105 is 1498455

GCF of denominators i.e. for 364,728,130 is 26.

Thus, LCM of Fractions is 1498455/26.Finally, LCM of Fractions for 67/364, 639/728, 105/130 is 1498455/26.