Least Common Multiple of 487/364, 7355/9614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 487/364, 7355/9614 quickly i.e. 3581885/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/364, 7355/9614 is 3581885/2.

LCM(487/364, 7355/9614) = 3581885/2

LCM of 487/364, 7355/9614

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 487/364,7355/9614

Given numbers are 487/364,7355/9614

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 487,7355

Least Common Multiple of Numerators i.e. LCM of 487,7355 is 3581885.

GCF of Denominators means GCF of 364,9614 as per the given fractions.

GCF of 364,9614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,7355

LCM of Fractions 487/364,7355/9614 is 3581885/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3581885

Least Common Multiple of 487,7355 with GCF Formula

Least Common Multiple of 487,7355 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 487,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,7355) = 1

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

GCF(487,7355) x common factors =1 x 1 = 1

LCM(487,7355) = ( 487 × 7355 ) / 1

LCM(487,7355) = 3581885 / 1

LCM(487,7355) = 3581885


Lets's calculate GCF of 364,9614

2 364, 9614
182, 4807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3581885/2

Therefore the LCM of Fractions 487/364,7355/9614 is 3581885/2

Greatest Common Factor of 364,9614 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,9614 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 9614

List of positive integer factors of 9614 that divides 9614 without a remainder.

1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614

Greatest Common Factor

We found the factors 364,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 364,9614 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 487/364, 7355/9614

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 487/364, 7355/9614?

Answer: LCM of Numerators as per given numbers 487/364, 7355/9614 is

LCM of Numerators i.e. for 487,7355 is 3581885

GCF of denominators i.e. for 364,9614 is 2.

Thus, LCM of Fractions is 3581885/2.Finally, LCM of Fractions for 487/364, 7355/9614 is 3581885/2.