Least Common Multiple of 7417/714, 4802/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7417/714, 4802/644 quickly i.e. 2544031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7417/714, 4802/644 is 2544031.

LCM(7417/714, 4802/644) = 2544031

LCM of 7417/714, 4802/644

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 7417/714,4802/644

Given numbers are 7417/714,4802/644

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 7417,4802

Least Common Multiple of Numerators i.e. LCM of 7417,4802 is 35616434.

GCF of Denominators means GCF of 714,644 as per the given fractions.

GCF of 714,644 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7417,4802

LCM of Fractions 7417/714,4802/644 is 2544031

Given numbers has no common factors except 1. So, there LCM is their product i.e 35616434

Least Common Multiple of 7417,4802 with GCF Formula

Least Common Multiple of 7417,4802 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 7417,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7417,4802) = 1

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

GCF(7417,4802) x common factors =1 x 1 = 1

LCM(7417,4802) = ( 7417 × 4802 ) / 1

LCM(7417,4802) = 35616434 / 1

LCM(7417,4802) = 35616434


Lets's calculate GCF of 714,644

2 714, 644
7 357, 322
51, 46

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35616434/14

Therefore the LCM of Fractions 7417/714,4802/644 is 2544031

Greatest Common Factor of 714,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,644 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 714,644 . The biggest common factor number is the GCF number.
So the greatest common factor 714,644 is 14.


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 7417/714, 4802/644

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 7417/714, 4802/644?

Answer: LCM of Numerators as per given numbers 7417/714, 4802/644 is

LCM of Numerators i.e. for 7417,4802 is 35616434

GCF of denominators i.e. for 714,644 is 14.

Thus, LCM of Fractions is 2544031.Finally, LCM of Fractions for 7417/714, 4802/644 is 2544031.