Least Common Multiple of 78/305, 98/504, 174/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/305, 98/504, 174/306 quickly i.e. 110838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/305, 98/504, 174/306 is 110838.

LCM(78/305, 98/504, 174/306) = 110838

LCM of 78/305, 98/504, 174/306

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 78/305,98/504,174/306

Given numbers are 78/305,98/504,174/306

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 78,98,174

Least Common Multiple of Numerators i.e. LCM of 78,98,174 is 110838.

GCF of Denominators means GCF of 305,504,306 as per the given fractions.

GCF of 305,504,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,98,174

LCM of Fractions 78/305,98/504,174/306 is 110838

2 78, 98, 174
3 39, 49, 87
13, 49, 29

∴ So the LCM of the given numbers is 2 x 3 x 13 x 49 x 29 = 110838

Least Common Multiple of 78,98,174 with GCF Formula

Least Common Multiple of 78,98,174 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 78,98,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,98,174) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,98,174) x common factors =2 x 6 = 12

LCM(78,98,174) = ( 78 × 98 × 174 ) / 12

LCM(78,98,174) = 1330056 / 12

LCM(78,98,174) = 110838


Lets's calculate GCF of 305,504,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110838/1

Therefore the LCM of Fractions 78/305,98/504,174/306 is 110838

Greatest Common Factor of 305,504,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,504,306 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 305,504,306 . The biggest common factor number is the GCF number.
So the greatest common factor 305,504,306 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 78/305, 98/504, 174/306

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 78/305, 98/504, 174/306?

Answer: LCM of Numerators as per given numbers 78/305, 98/504, 174/306 is

LCM of Numerators i.e. for 78,98,174 is 110838

GCF of denominators i.e. for 305,504,306 is 1.

Thus, LCM of Fractions is 110838.Finally, LCM of Fractions for 78/305, 98/504, 174/306 is 110838.