Least Common Multiple of 658/554, 617/322, 646/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/554, 617/322, 646/794 quickly i.e. 65566739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/554, 617/322, 646/794 is 65566739.

LCM(658/554, 617/322, 646/794) = 65566739

LCM of 658/554, 617/322, 646/794

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 658/554,617/322,646/794

Given numbers are 658/554,617/322,646/794

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 658,617,646

Least Common Multiple of Numerators i.e. LCM of 658,617,646 is 131133478.

GCF of Denominators means GCF of 554,322,794 as per the given fractions.

GCF of 554,322,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,617,646

LCM of Fractions 658/554,617/322,646/794 is 65566739

2 658, 617, 646
329, 617, 323

∴ So the LCM of the given numbers is 2 x 329 x 617 x 323 = 131133478

Least Common Multiple of 658,617,646 with GCF Formula

Least Common Multiple of 658,617,646 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 658,617,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,617,646) = 1

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

GCF(658,617,646) x common factors =1 x 2 = 2

LCM(658,617,646) = ( 658 × 617 × 646 ) / 2

LCM(658,617,646) = 262266956 / 2

LCM(658,617,646) = 131133478


Lets's calculate GCF of 554,322,794

2 554, 322, 794
277, 161, 397

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131133478/2

Therefore the LCM of Fractions 658/554,617/322,646/794 is 65566739

Greatest Common Factor of 554,322,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,322,794 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 554,322,794 . The biggest common factor number is the GCF number.
So the greatest common factor 554,322,794 is 2.


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 658/554, 617/322, 646/794

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 658/554, 617/322, 646/794?

Answer: LCM of Numerators as per given numbers 658/554, 617/322, 646/794 is

LCM of Numerators i.e. for 658,617,646 is 131133478

GCF of denominators i.e. for 554,322,794 is 2.

Thus, LCM of Fractions is 65566739.Finally, LCM of Fractions for 658/554, 617/322, 646/794 is 65566739.