Least Common Multiple of 740/714, 4601/8481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/714, 4601/8481 quickly i.e. 3404740/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/714, 4601/8481 is 3404740/3.

LCM(740/714, 4601/8481) = 3404740/3

LCM of 740/714, 4601/8481

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 740/714,4601/8481

Given numbers are 740/714,4601/8481

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 740,4601

Least Common Multiple of Numerators i.e. LCM of 740,4601 is 3404740.

GCF of Denominators means GCF of 714,8481 as per the given fractions.

GCF of 714,8481 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,4601

LCM of Fractions 740/714,4601/8481 is 3404740/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3404740

Least Common Multiple of 740,4601 with GCF Formula

Least Common Multiple of 740,4601 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 740,4601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,4601) = 1

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

GCF(740,4601) x common factors =1 x 1 = 1

LCM(740,4601) = ( 740 × 4601 ) / 1

LCM(740,4601) = 3404740 / 1

LCM(740,4601) = 3404740


Lets's calculate GCF of 714,8481

3 714, 8481
238, 2827

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3404740/3

Therefore the LCM of Fractions 740/714,4601/8481 is 3404740/3

Greatest Common Factor of 714,8481 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,8481 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 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Greatest Common Factor

We found the factors 714,8481 . The biggest common factor number is the GCF number.
So the greatest common factor 714,8481 is 3.


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 740/714, 4601/8481

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 740/714, 4601/8481?

Answer: LCM of Numerators as per given numbers 740/714, 4601/8481 is

LCM of Numerators i.e. for 740,4601 is 3404740

GCF of denominators i.e. for 714,8481 is 3.

Thus, LCM of Fractions is 3404740/3.Finally, LCM of Fractions for 740/714, 4601/8481 is 3404740/3.