Least Common Multiple of 67/98, 48/27, 84/45, 17/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/98, 48/27, 84/45, 17/920 quickly i.e. 382704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/98, 48/27, 84/45, 17/920 is 382704.

LCM(67/98, 48/27, 84/45, 17/920) = 382704

LCM of 67/98, 48/27, 84/45, 17/920

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 67/98,48/27,84/45,17/920

Given numbers are 67/98,48/27,84/45,17/920

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 67,48,84,17

Least Common Multiple of Numerators i.e. LCM of 67,48,84,17 is 382704.

GCF of Denominators means GCF of 98,27,45,920 as per the given fractions.

GCF of 98,27,45,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,48,84,17

LCM of Fractions 67/98,48/27,84/45,17/920 is 382704

2 67, 48, 84, 17
2 67, 24, 42, 17
3 67, 12, 21, 17
67, 4, 7, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 4 x 7 x 17 = 382704

Least Common Multiple of 67,48,84,17 with GCF Formula

Least Common Multiple of 67,48,84,17 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 67,48,84,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,48,84,17) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(67,48,84,17) x common factors =1 x 12 = 12

LCM(67,48,84,17) = ( 67 × 48 × 84 × 17 ) / 12

LCM(67,48,84,17) = 4592448 / 12

LCM(67,48,84,17) = 382704


Lets's calculate GCF of 98,27,45,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382704/1

Therefore the LCM of Fractions 67/98,48/27,84/45,17/920 is 382704

Greatest Common Factor of 98,27,45,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,27,45,920 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 98,27,45,920 . The biggest common factor number is the GCF number.
So the greatest common factor 98,27,45,920 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 67/98, 48/27, 84/45, 17/920

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 67/98, 48/27, 84/45, 17/920?

Answer: LCM of Numerators as per given numbers 67/98, 48/27, 84/45, 17/920 is

LCM of Numerators i.e. for 67,48,84,17 is 382704

GCF of denominators i.e. for 98,27,45,920 is 1.

Thus, LCM of Fractions is 382704.Finally, LCM of Fractions for 67/98, 48/27, 84/45, 17/920 is 382704.