Least Common Multiple of 5462/38, 7347/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5462/38, 7347/714 quickly i.e. 20064657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5462/38, 7347/714 is 20064657.

LCM(5462/38, 7347/714) = 20064657

LCM of 5462/38, 7347/714

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 5462/38,7347/714

Given numbers are 5462/38,7347/714

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 5462,7347

Least Common Multiple of Numerators i.e. LCM of 5462,7347 is 40129314.

GCF of Denominators means GCF of 38,714 as per the given fractions.

GCF of 38,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5462,7347

LCM of Fractions 5462/38,7347/714 is 20064657

Given numbers has no common factors except 1. So, there LCM is their product i.e 40129314

Least Common Multiple of 5462,7347 with GCF Formula

Least Common Multiple of 5462,7347 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 5462,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5462,7347) = 1

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

GCF(5462,7347) x common factors =1 x 1 = 1

LCM(5462,7347) = ( 5462 × 7347 ) / 1

LCM(5462,7347) = 40129314 / 1

LCM(5462,7347) = 40129314


Lets's calculate GCF of 38,714

2 38, 714
19, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40129314/2

Therefore the LCM of Fractions 5462/38,7347/714 is 20064657

Greatest Common Factor of 38,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,714 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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

Greatest Common Factor

We found the factors 38,714 . The biggest common factor number is the GCF number.
So the greatest common factor 38,714 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 5462/38, 7347/714

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 5462/38, 7347/714?

Answer: LCM of Numerators as per given numbers 5462/38, 7347/714 is

LCM of Numerators i.e. for 5462,7347 is 40129314

GCF of denominators i.e. for 38,714 is 2.

Thus, LCM of Fractions is 20064657.Finally, LCM of Fractions for 5462/38, 7347/714 is 20064657.