Least Common Multiple of 164/457, 203/913, 588/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/457, 203/913, 588/746 quickly i.e. 699132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/457, 203/913, 588/746 is 699132.

LCM(164/457, 203/913, 588/746) = 699132

LCM of 164/457, 203/913, 588/746

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 164/457,203/913,588/746

Given numbers are 164/457,203/913,588/746

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 164,203,588

Least Common Multiple of Numerators i.e. LCM of 164,203,588 is 699132.

GCF of Denominators means GCF of 457,913,746 as per the given fractions.

GCF of 457,913,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,203,588

LCM of Fractions 164/457,203/913,588/746 is 699132

2 164, 203, 588
2 82, 203, 294
7 41, 203, 147
41, 29, 21

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 29 x 21 = 699132

Least Common Multiple of 164,203,588 with GCF Formula

Least Common Multiple of 164,203,588 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 164,203,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,203,588) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(164,203,588) x common factors =1 x 28 = 28

LCM(164,203,588) = ( 164 × 203 × 588 ) / 28

LCM(164,203,588) = 19575696 / 28

LCM(164,203,588) = 699132


Lets's calculate GCF of 457,913,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699132/1

Therefore the LCM of Fractions 164/457,203/913,588/746 is 699132

Greatest Common Factor of 457,913,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,913,746 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 457,913,746 . The biggest common factor number is the GCF number.
So the greatest common factor 457,913,746 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 164/457, 203/913, 588/746

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 164/457, 203/913, 588/746?

Answer: LCM of Numerators as per given numbers 164/457, 203/913, 588/746 is

LCM of Numerators i.e. for 164,203,588 is 699132

GCF of denominators i.e. for 457,913,746 is 1.

Thus, LCM of Fractions is 699132.Finally, LCM of Fractions for 164/457, 203/913, 588/746 is 699132.