Least Common Multiple of 7740/312, 8003/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7740/312, 8003/382 quickly i.e. 30971610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7740/312, 8003/382 is 30971610.

LCM(7740/312, 8003/382) = 30971610

LCM of 7740/312, 8003/382

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 7740/312,8003/382

Given numbers are 7740/312,8003/382

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 7740,8003

Least Common Multiple of Numerators i.e. LCM of 7740,8003 is 61943220.

GCF of Denominators means GCF of 312,382 as per the given fractions.

GCF of 312,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7740,8003

LCM of Fractions 7740/312,8003/382 is 30971610

Given numbers has no common factors except 1. So, there LCM is their product i.e 61943220

Least Common Multiple of 7740,8003 with GCF Formula

Least Common Multiple of 7740,8003 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 7740,8003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7740,8003) = 1

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

GCF(7740,8003) x common factors =1 x 1 = 1

LCM(7740,8003) = ( 7740 × 8003 ) / 1

LCM(7740,8003) = 61943220 / 1

LCM(7740,8003) = 61943220


Lets's calculate GCF of 312,382

2 312, 382
156, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61943220/2

Therefore the LCM of Fractions 7740/312,8003/382 is 30971610

Greatest Common Factor of 312,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,382 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 312,382 . The biggest common factor number is the GCF number.
So the greatest common factor 312,382 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 7740/312, 8003/382

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 7740/312, 8003/382?

Answer: LCM of Numerators as per given numbers 7740/312, 8003/382 is

LCM of Numerators i.e. for 7740,8003 is 61943220

GCF of denominators i.e. for 312,382 is 2.

Thus, LCM of Fractions is 30971610.Finally, LCM of Fractions for 7740/312, 8003/382 is 30971610.