Least Common Multiple of 749/98, 787/20, 406/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/98, 787/20, 406/327 quickly i.e. 34188854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/98, 787/20, 406/327 is 34188854.

LCM(749/98, 787/20, 406/327) = 34188854

LCM of 749/98, 787/20, 406/327

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 749/98,787/20,406/327

Given numbers are 749/98,787/20,406/327

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 749,787,406

Least Common Multiple of Numerators i.e. LCM of 749,787,406 is 34188854.

GCF of Denominators means GCF of 98,20,327 as per the given fractions.

GCF of 98,20,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,787,406

LCM of Fractions 749/98,787/20,406/327 is 34188854

7 749, 787, 406
107, 787, 58

∴ So the LCM of the given numbers is 7 x 107 x 787 x 58 = 34188854

Least Common Multiple of 749,787,406 with GCF Formula

Least Common Multiple of 749,787,406 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 749,787,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,787,406) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(749,787,406) x common factors =1 x 7 = 7

LCM(749,787,406) = ( 749 × 787 × 406 ) / 7

LCM(749,787,406) = 239321978 / 7

LCM(749,787,406) = 34188854


Lets's calculate GCF of 98,20,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34188854/1

Therefore the LCM of Fractions 749/98,787/20,406/327 is 34188854

Greatest Common Factor of 98,20,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,20,327 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 98,20,327 . The biggest common factor number is the GCF number.
So the greatest common factor 98,20,327 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 749/98, 787/20, 406/327

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 749/98, 787/20, 406/327?

Answer: LCM of Numerators as per given numbers 749/98, 787/20, 406/327 is

LCM of Numerators i.e. for 749,787,406 is 34188854

GCF of denominators i.e. for 98,20,327 is 1.

Thus, LCM of Fractions is 34188854.Finally, LCM of Fractions for 749/98, 787/20, 406/327 is 34188854.