Least Common Multiple of 988/26, 467/28, 649/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/26, 467/28, 649/748 quickly i.e. 149723002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/26, 467/28, 649/748 is 149723002.

LCM(988/26, 467/28, 649/748) = 149723002

LCM of 988/26, 467/28, 649/748

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 988/26,467/28,649/748

Given numbers are 988/26,467/28,649/748

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 988,467,649

Least Common Multiple of Numerators i.e. LCM of 988,467,649 is 299446004.

GCF of Denominators means GCF of 26,28,748 as per the given fractions.

GCF of 26,28,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,467,649

LCM of Fractions 988/26,467/28,649/748 is 149723002

Given numbers has no common factors except 1. So, there LCM is their product i.e 299446004

Least Common Multiple of 988,467,649 with GCF Formula

Least Common Multiple of 988,467,649 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 988,467,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,467,649) = 1

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

GCF(988,467,649) x common factors =1 x 1 = 1

LCM(988,467,649) = ( 988 × 467 × 649 ) / 1

LCM(988,467,649) = 299446004 / 1

LCM(988,467,649) = 299446004


Lets's calculate GCF of 26,28,748

2 26, 28, 748
13, 14, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299446004/2

Therefore the LCM of Fractions 988/26,467/28,649/748 is 149723002

Greatest Common Factor of 26,28,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,28,748 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 26,28,748 . The biggest common factor number is the GCF number.
So the greatest common factor 26,28,748 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 988/26, 467/28, 649/748

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 988/26, 467/28, 649/748?

Answer: LCM of Numerators as per given numbers 988/26, 467/28, 649/748 is

LCM of Numerators i.e. for 988,467,649 is 299446004

GCF of denominators i.e. for 26,28,748 is 2.

Thus, LCM of Fractions is 149723002.Finally, LCM of Fractions for 988/26, 467/28, 649/748 is 149723002.