Least Common Multiple of 95/197, 45/732, 306/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/197, 45/732, 306/793 quickly i.e. 29070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/197, 45/732, 306/793 is 29070.

LCM(95/197, 45/732, 306/793) = 29070

LCM of 95/197, 45/732, 306/793

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 95/197,45/732,306/793

Given numbers are 95/197,45/732,306/793

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 95,45,306

Least Common Multiple of Numerators i.e. LCM of 95,45,306 is 29070.

GCF of Denominators means GCF of 197,732,793 as per the given fractions.

GCF of 197,732,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,45,306

LCM of Fractions 95/197,45/732,306/793 is 29070

3 95, 45, 306
3 95, 15, 102
5 95, 5, 34
19, 1, 34

∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 1 x 34 = 29070

Least Common Multiple of 95,45,306 with GCF Formula

Least Common Multiple of 95,45,306 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 95,45,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,45,306) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(95,45,306) x common factors =1 x 45 = 45

LCM(95,45,306) = ( 95 × 45 × 306 ) / 45

LCM(95,45,306) = 1308150 / 45

LCM(95,45,306) = 29070


Lets's calculate GCF of 197,732,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29070/1

Therefore the LCM of Fractions 95/197,45/732,306/793 is 29070

Greatest Common Factor of 197,732,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,732,793 By Matching Biggest Common Factor Method

Factors of 197

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

1,197

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 197,732,793 . The biggest common factor number is the GCF number.
So the greatest common factor 197,732,793 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 95/197, 45/732, 306/793

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 95/197, 45/732, 306/793?

Answer: LCM of Numerators as per given numbers 95/197, 45/732, 306/793 is

LCM of Numerators i.e. for 95,45,306 is 29070

GCF of denominators i.e. for 197,732,793 is 1.

Thus, LCM of Fractions is 29070.Finally, LCM of Fractions for 95/197, 45/732, 306/793 is 29070.