Least Common Multiple of 174/98, 693/97, 378/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/98, 693/97, 378/735 quickly i.e. 120582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/98, 693/97, 378/735 is 120582.

LCM(174/98, 693/97, 378/735) = 120582

LCM of 174/98, 693/97, 378/735

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 174/98,693/97,378/735

Given numbers are 174/98,693/97,378/735

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 174,693,378

Least Common Multiple of Numerators i.e. LCM of 174,693,378 is 120582.

GCF of Denominators means GCF of 98,97,735 as per the given fractions.

GCF of 98,97,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,693,378

LCM of Fractions 174/98,693/97,378/735 is 120582

2 174, 693, 378
3 87, 693, 189
3 29, 231, 63
7 29, 77, 21
29, 11, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 29 x 11 x 3 = 120582

Least Common Multiple of 174,693,378 with GCF Formula

Least Common Multiple of 174,693,378 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 174,693,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,693,378) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(174,693,378) x common factors =3 x 126 = 378

LCM(174,693,378) = ( 174 × 693 × 378 ) / 378

LCM(174,693,378) = 45579996 / 378

LCM(174,693,378) = 120582


Lets's calculate GCF of 98,97,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120582/1

Therefore the LCM of Fractions 174/98,693/97,378/735 is 120582

Greatest Common Factor of 98,97,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,97,735 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 98,97,735 . The biggest common factor number is the GCF number.
So the greatest common factor 98,97,735 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 174/98, 693/97, 378/735

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 174/98, 693/97, 378/735?

Answer: LCM of Numerators as per given numbers 174/98, 693/97, 378/735 is

LCM of Numerators i.e. for 174,693,378 is 120582

GCF of denominators i.e. for 98,97,735 is 1.

Thus, LCM of Fractions is 120582.Finally, LCM of Fractions for 174/98, 693/97, 378/735 is 120582.