Least Common Multiple of 84/34, 90/17, 774/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/34, 90/17, 774/646 quickly i.e. 54180/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/34, 90/17, 774/646 is 54180/17.

LCM(84/34, 90/17, 774/646) = 54180/17

LCM of 84/34, 90/17, 774/646

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 84/34,90/17,774/646

Given numbers are 84/34,90/17,774/646

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 84,90,774

Least Common Multiple of Numerators i.e. LCM of 84,90,774 is 54180.

GCF of Denominators means GCF of 34,17,646 as per the given fractions.

GCF of 34,17,646 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,90,774

LCM of Fractions 84/34,90/17,774/646 is 54180/17

2 84, 90, 774
3 42, 45, 387
3 14, 15, 129
14, 5, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 14 x 5 x 43 = 54180

Least Common Multiple of 84,90,774 with GCF Formula

Least Common Multiple of 84,90,774 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 84,90,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,90,774) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(84,90,774) x common factors =6 x 18 = 108

LCM(84,90,774) = ( 84 × 90 × 774 ) / 108

LCM(84,90,774) = 5851440 / 108

LCM(84,90,774) = 54180


Lets's calculate GCF of 34,17,646

17 34, 17, 646
2, 1, 38

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54180/17

Therefore the LCM of Fractions 84/34,90/17,774/646 is 54180/17

Greatest Common Factor of 34,17,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,17,646 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 34,17,646 . The biggest common factor number is the GCF number.
So the greatest common factor 34,17,646 is 17.


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 84/34, 90/17, 774/646

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 84/34, 90/17, 774/646?

Answer: LCM of Numerators as per given numbers 84/34, 90/17, 774/646 is

LCM of Numerators i.e. for 84,90,774 is 54180

GCF of denominators i.e. for 34,17,646 is 17.

Thus, LCM of Fractions is 54180/17.Finally, LCM of Fractions for 84/34, 90/17, 774/646 is 54180/17.