Least Common Multiple of 115/93, 678/14, 311/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/93, 678/14, 311/197 quickly i.e. 24248670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/93, 678/14, 311/197 is 24248670.

LCM(115/93, 678/14, 311/197) = 24248670

LCM of 115/93, 678/14, 311/197

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 115/93,678/14,311/197

Given numbers are 115/93,678/14,311/197

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 115,678,311

Least Common Multiple of Numerators i.e. LCM of 115,678,311 is 24248670.

GCF of Denominators means GCF of 93,14,197 as per the given fractions.

GCF of 93,14,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,678,311

LCM of Fractions 115/93,678/14,311/197 is 24248670

Given numbers has no common factors except 1. So, there LCM is their product i.e 24248670

Least Common Multiple of 115,678,311 with GCF Formula

Least Common Multiple of 115,678,311 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 115,678,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,678,311) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(115,678,311) x common factors =1 x 1 = 1

LCM(115,678,311) = ( 115 × 678 × 311 ) / 1

LCM(115,678,311) = 24248670 / 1

LCM(115,678,311) = 24248670


Lets's calculate GCF of 93,14,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24248670/1

Therefore the LCM of Fractions 115/93,678/14,311/197 is 24248670

Greatest Common Factor of 93,14,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,14,197 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 93,14,197 . The biggest common factor number is the GCF number.
So the greatest common factor 93,14,197 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 115/93, 678/14, 311/197

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 115/93, 678/14, 311/197?

Answer: LCM of Numerators as per given numbers 115/93, 678/14, 311/197 is

LCM of Numerators i.e. for 115,678,311 is 24248670

GCF of denominators i.e. for 93,14,197 is 1.

Thus, LCM of Fractions is 24248670.Finally, LCM of Fractions for 115/93, 678/14, 311/197 is 24248670.