Least Common Multiple of 658/614, 307/109, 358/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/614, 307/109, 358/464 quickly i.e. 36159074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/614, 307/109, 358/464 is 36159074.

LCM(658/614, 307/109, 358/464) = 36159074

LCM of 658/614, 307/109, 358/464

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 658/614,307/109,358/464

Given numbers are 658/614,307/109,358/464

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 658,307,358

Least Common Multiple of Numerators i.e. LCM of 658,307,358 is 36159074.

GCF of Denominators means GCF of 614,109,464 as per the given fractions.

GCF of 614,109,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,307,358

LCM of Fractions 658/614,307/109,358/464 is 36159074

2 658, 307, 358
329, 307, 179

∴ So the LCM of the given numbers is 2 x 329 x 307 x 179 = 36159074

Least Common Multiple of 658,307,358 with GCF Formula

Least Common Multiple of 658,307,358 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 658,307,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,307,358) = 1

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

GCF(658,307,358) x common factors =1 x 2 = 2

LCM(658,307,358) = ( 658 × 307 × 358 ) / 2

LCM(658,307,358) = 72318148 / 2

LCM(658,307,358) = 36159074


Lets's calculate GCF of 614,109,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36159074/1

Therefore the LCM of Fractions 658/614,307/109,358/464 is 36159074

Greatest Common Factor of 614,109,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,109,464 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 614,109,464 . The biggest common factor number is the GCF number.
So the greatest common factor 614,109,464 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 658/614, 307/109, 358/464

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 658/614, 307/109, 358/464?

Answer: LCM of Numerators as per given numbers 658/614, 307/109, 358/464 is

LCM of Numerators i.e. for 658,307,358 is 36159074

GCF of denominators i.e. for 614,109,464 is 1.

Thus, LCM of Fractions is 36159074.Finally, LCM of Fractions for 658/614, 307/109, 358/464 is 36159074.