Least Common Multiple of 15/388, 3140/7426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/388, 3140/7426 quickly i.e. 4710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/388, 3140/7426 is 4710.

LCM(15/388, 3140/7426) = 4710

LCM of 15/388, 3140/7426

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 15/388,3140/7426

Given numbers are 15/388,3140/7426

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 15,3140

Least Common Multiple of Numerators i.e. LCM of 15,3140 is 9420.

GCF of Denominators means GCF of 388,7426 as per the given fractions.

GCF of 388,7426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,3140

LCM of Fractions 15/388,3140/7426 is 4710

5 15, 3140
3, 628

∴ So the LCM of the given numbers is 5 x 3 x 628 = 9420

Least Common Multiple of 15,3140 with GCF Formula

Least Common Multiple of 15,3140 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 15,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,3140) = 5

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

GCF(15,3140) x common factors =5 x 1 = 5

LCM(15,3140) = ( 15 × 3140 ) / 5

LCM(15,3140) = 47100 / 5

LCM(15,3140) = 9420


Lets's calculate GCF of 388,7426

2 388, 7426
194, 3713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9420/2

Therefore the LCM of Fractions 15/388,3140/7426 is 4710

Greatest Common Factor of 388,7426 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,7426 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1,2,47,79,94,158,3713,7426

Greatest Common Factor

We found the factors 388,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 388,7426 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 15/388, 3140/7426

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 15/388, 3140/7426?

Answer: LCM of Numerators as per given numbers 15/388, 3140/7426 is

LCM of Numerators i.e. for 15,3140 is 9420

GCF of denominators i.e. for 388,7426 is 2.

Thus, LCM of Fractions is 4710.Finally, LCM of Fractions for 15/388, 3140/7426 is 4710.