Least Common Multiple of 104/583, 988/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 104/583, 988/726 quickly i.e. 1976/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 104/583, 988/726 is 1976/11.

LCM(104/583, 988/726) = 1976/11

LCM of 104/583, 988/726

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 104/583,988/726

Given numbers are 104/583,988/726

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 104,988

Least Common Multiple of Numerators i.e. LCM of 104,988 is 1976.

GCF of Denominators means GCF of 583,726 as per the given fractions.

GCF of 583,726 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 104,988

LCM of Fractions 104/583,988/726 is 1976/11

2 104, 988
2 52, 494
13 26, 247
2, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 2 x 19 = 1976

Least Common Multiple of 104,988 with GCF Formula

Least Common Multiple of 104,988 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 104,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,988) = 52

common factors(in case of two or more numbers have common factors) = 1

GCF(104,988) x common factors =52 x 1 = 52

LCM(104,988) = ( 104 × 988 ) / 52

LCM(104,988) = 102752 / 52

LCM(104,988) = 1976


Lets's calculate GCF of 583,726

11 583, 726
53, 66

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1976/11

Therefore the LCM of Fractions 104/583,988/726 is 1976/11

Greatest Common Factor of 583,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,726 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 583,726 . The biggest common factor number is the GCF number.
So the greatest common factor 583,726 is 11.


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 104/583, 988/726

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 104/583, 988/726?

Answer: LCM of Numerators as per given numbers 104/583, 988/726 is

LCM of Numerators i.e. for 104,988 is 1976

GCF of denominators i.e. for 583,726 is 11.

Thus, LCM of Fractions is 1976/11.Finally, LCM of Fractions for 104/583, 988/726 is 1976/11.