Least Common Multiple of 1915/714, 6467/7982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1915/714, 6467/7982 quickly i.e. 12384305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1915/714, 6467/7982 is 12384305/2.

LCM(1915/714, 6467/7982) = 12384305/2

LCM of 1915/714, 6467/7982

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 1915/714,6467/7982

Given numbers are 1915/714,6467/7982

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 1915,6467

Least Common Multiple of Numerators i.e. LCM of 1915,6467 is 12384305.

GCF of Denominators means GCF of 714,7982 as per the given fractions.

GCF of 714,7982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1915,6467

LCM of Fractions 1915/714,6467/7982 is 12384305/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 12384305

Least Common Multiple of 1915,6467 with GCF Formula

Least Common Multiple of 1915,6467 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 1915,6467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1915,6467) = 1

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

GCF(1915,6467) x common factors =1 x 1 = 1

LCM(1915,6467) = ( 1915 × 6467 ) / 1

LCM(1915,6467) = 12384305 / 1

LCM(1915,6467) = 12384305


Lets's calculate GCF of 714,7982

2 714, 7982
357, 3991

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12384305/2

Therefore the LCM of Fractions 1915/714,6467/7982 is 12384305/2

Greatest Common Factor of 714,7982 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,7982 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1,2,13,26,307,614,3991,7982

Greatest Common Factor

We found the factors 714,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 714,7982 is 2.


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 1915/714, 6467/7982

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 1915/714, 6467/7982?

Answer: LCM of Numerators as per given numbers 1915/714, 6467/7982 is

LCM of Numerators i.e. for 1915,6467 is 12384305

GCF of denominators i.e. for 714,7982 is 2.

Thus, LCM of Fractions is 12384305/2.Finally, LCM of Fractions for 1915/714, 6467/7982 is 12384305/2.