Least Common Multiple of 730/586, 643/136, 164/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/586, 643/136, 164/753 quickly i.e. 38489980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/586, 643/136, 164/753 is 38489980.

LCM(730/586, 643/136, 164/753) = 38489980

LCM of 730/586, 643/136, 164/753

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 730/586,643/136,164/753

Given numbers are 730/586,643/136,164/753

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 730,643,164

Least Common Multiple of Numerators i.e. LCM of 730,643,164 is 38489980.

GCF of Denominators means GCF of 586,136,753 as per the given fractions.

GCF of 586,136,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,643,164

LCM of Fractions 730/586,643/136,164/753 is 38489980

2 730, 643, 164
365, 643, 82

∴ So the LCM of the given numbers is 2 x 365 x 643 x 82 = 38489980

Least Common Multiple of 730,643,164 with GCF Formula

Least Common Multiple of 730,643,164 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 730,643,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,643,164) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(730,643,164) x common factors =1 x 2 = 2

LCM(730,643,164) = ( 730 × 643 × 164 ) / 2

LCM(730,643,164) = 76979960 / 2

LCM(730,643,164) = 38489980


Lets's calculate GCF of 586,136,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38489980/1

Therefore the LCM of Fractions 730/586,643/136,164/753 is 38489980

Greatest Common Factor of 586,136,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,136,753 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 586,136,753 . The biggest common factor number is the GCF number.
So the greatest common factor 586,136,753 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 730/586, 643/136, 164/753

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 730/586, 643/136, 164/753?

Answer: LCM of Numerators as per given numbers 730/586, 643/136, 164/753 is

LCM of Numerators i.e. for 730,643,164 is 38489980

GCF of denominators i.e. for 586,136,753 is 1.

Thus, LCM of Fractions is 38489980.Finally, LCM of Fractions for 730/586, 643/136, 164/753 is 38489980.