Least Common Multiple of 329/645, 816/931, 654/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/645, 816/931, 654/258 quickly i.e. 29262576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/645, 816/931, 654/258 is 29262576.

LCM(329/645, 816/931, 654/258) = 29262576

LCM of 329/645, 816/931, 654/258

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 329/645,816/931,654/258

Given numbers are 329/645,816/931,654/258

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 329,816,654

Least Common Multiple of Numerators i.e. LCM of 329,816,654 is 29262576.

GCF of Denominators means GCF of 645,931,258 as per the given fractions.

GCF of 645,931,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,816,654

LCM of Fractions 329/645,816/931,654/258 is 29262576

2 329, 816, 654
3 329, 408, 327
329, 136, 109

∴ So the LCM of the given numbers is 2 x 3 x 329 x 136 x 109 = 29262576

Least Common Multiple of 329,816,654 with GCF Formula

Least Common Multiple of 329,816,654 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 329,816,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,816,654) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(329,816,654) x common factors =1 x 6 = 6

LCM(329,816,654) = ( 329 × 816 × 654 ) / 6

LCM(329,816,654) = 175575456 / 6

LCM(329,816,654) = 29262576


Lets's calculate GCF of 645,931,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29262576/1

Therefore the LCM of Fractions 329/645,816/931,654/258 is 29262576

Greatest Common Factor of 645,931,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,931,258 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 645,931,258 . The biggest common factor number is the GCF number.
So the greatest common factor 645,931,258 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 329/645, 816/931, 654/258

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 329/645, 816/931, 654/258?

Answer: LCM of Numerators as per given numbers 329/645, 816/931, 654/258 is

LCM of Numerators i.e. for 329,816,654 is 29262576

GCF of denominators i.e. for 645,931,258 is 1.

Thus, LCM of Fractions is 29262576.Finally, LCM of Fractions for 329/645, 816/931, 654/258 is 29262576.