Least Common Multiple of 310/969, 347/683, 187/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/969, 347/683, 187/372 quickly i.e. 20115590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/969, 347/683, 187/372 is 20115590.

LCM(310/969, 347/683, 187/372) = 20115590

LCM of 310/969, 347/683, 187/372

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 310/969,347/683,187/372

Given numbers are 310/969,347/683,187/372

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 310,347,187

Least Common Multiple of Numerators i.e. LCM of 310,347,187 is 20115590.

GCF of Denominators means GCF of 969,683,372 as per the given fractions.

GCF of 969,683,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,347,187

LCM of Fractions 310/969,347/683,187/372 is 20115590

Given numbers has no common factors except 1. So, there LCM is their product i.e 20115590

Least Common Multiple of 310,347,187 with GCF Formula

Least Common Multiple of 310,347,187 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 310,347,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,347,187) = 1

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

GCF(310,347,187) x common factors =1 x 1 = 1

LCM(310,347,187) = ( 310 × 347 × 187 ) / 1

LCM(310,347,187) = 20115590 / 1

LCM(310,347,187) = 20115590


Lets's calculate GCF of 969,683,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20115590/1

Therefore the LCM of Fractions 310/969,347/683,187/372 is 20115590

Greatest Common Factor of 969,683,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,683,372 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 969,683,372 . The biggest common factor number is the GCF number.
So the greatest common factor 969,683,372 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 310/969, 347/683, 187/372

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 310/969, 347/683, 187/372?

Answer: LCM of Numerators as per given numbers 310/969, 347/683, 187/372 is

LCM of Numerators i.e. for 310,347,187 is 20115590

GCF of denominators i.e. for 969,683,372 is 1.

Thus, LCM of Fractions is 20115590.Finally, LCM of Fractions for 310/969, 347/683, 187/372 is 20115590.