Least Common Multiple of 626/69, 798/46, 993/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/69, 798/46, 993/558 quickly i.e. 82675194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/69, 798/46, 993/558 is 82675194.

LCM(626/69, 798/46, 993/558) = 82675194

LCM of 626/69, 798/46, 993/558

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 626/69,798/46,993/558

Given numbers are 626/69,798/46,993/558

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 626,798,993

Least Common Multiple of Numerators i.e. LCM of 626,798,993 is 82675194.

GCF of Denominators means GCF of 69,46,558 as per the given fractions.

GCF of 69,46,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,798,993

LCM of Fractions 626/69,798/46,993/558 is 82675194

2 626, 798, 993
3 313, 399, 993
313, 133, 331

∴ So the LCM of the given numbers is 2 x 3 x 313 x 133 x 331 = 82675194

Least Common Multiple of 626,798,993 with GCF Formula

Least Common Multiple of 626,798,993 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 626,798,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,798,993) = 1

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

GCF(626,798,993) x common factors =1 x 6 = 6

LCM(626,798,993) = ( 626 × 798 × 993 ) / 6

LCM(626,798,993) = 496051164 / 6

LCM(626,798,993) = 82675194


Lets's calculate GCF of 69,46,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82675194/1

Therefore the LCM of Fractions 626/69,798/46,993/558 is 82675194

Greatest Common Factor of 69,46,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,46,558 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 69,46,558 . The biggest common factor number is the GCF number.
So the greatest common factor 69,46,558 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 626/69, 798/46, 993/558

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 626/69, 798/46, 993/558?

Answer: LCM of Numerators as per given numbers 626/69, 798/46, 993/558 is

LCM of Numerators i.e. for 626,798,993 is 82675194

GCF of denominators i.e. for 69,46,558 is 1.

Thus, LCM of Fractions is 82675194.Finally, LCM of Fractions for 626/69, 798/46, 993/558 is 82675194.