Least Common Multiple of 14/975, 711/907, 309/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/975, 711/907, 309/683 quickly i.e. 1025262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/975, 711/907, 309/683 is 1025262.

LCM(14/975, 711/907, 309/683) = 1025262

LCM of 14/975, 711/907, 309/683

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 14/975,711/907,309/683

Given numbers are 14/975,711/907,309/683

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 14,711,309

Least Common Multiple of Numerators i.e. LCM of 14,711,309 is 1025262.

GCF of Denominators means GCF of 975,907,683 as per the given fractions.

GCF of 975,907,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,711,309

LCM of Fractions 14/975,711/907,309/683 is 1025262

3 14, 711, 309
14, 237, 103

∴ So the LCM of the given numbers is 3 x 14 x 237 x 103 = 1025262

Least Common Multiple of 14,711,309 with GCF Formula

Least Common Multiple of 14,711,309 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 14,711,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,711,309) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(14,711,309) x common factors =1 x 3 = 3

LCM(14,711,309) = ( 14 × 711 × 309 ) / 3

LCM(14,711,309) = 3075786 / 3

LCM(14,711,309) = 1025262


Lets's calculate GCF of 975,907,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1025262/1

Therefore the LCM of Fractions 14/975,711/907,309/683 is 1025262

Greatest Common Factor of 975,907,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,907,683 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 683

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

1,683

Greatest Common Factor

We found the factors 975,907,683 . The biggest common factor number is the GCF number.
So the greatest common factor 975,907,683 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 14/975, 711/907, 309/683

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 14/975, 711/907, 309/683?

Answer: LCM of Numerators as per given numbers 14/975, 711/907, 309/683 is

LCM of Numerators i.e. for 14,711,309 is 1025262

GCF of denominators i.e. for 975,907,683 is 1.

Thus, LCM of Fractions is 1025262.Finally, LCM of Fractions for 14/975, 711/907, 309/683 is 1025262.