Least Common Multiple of 3604/786, 8664/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3604/786, 8664/518 quickly i.e. 3903132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3604/786, 8664/518 is 3903132.

LCM(3604/786, 8664/518) = 3903132

LCM of 3604/786, 8664/518

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 3604/786,8664/518

Given numbers are 3604/786,8664/518

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 3604,8664

Least Common Multiple of Numerators i.e. LCM of 3604,8664 is 7806264.

GCF of Denominators means GCF of 786,518 as per the given fractions.

GCF of 786,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3604,8664

LCM of Fractions 3604/786,8664/518 is 3903132

2 3604, 8664
2 1802, 4332
901, 2166

∴ So the LCM of the given numbers is 2 x 2 x 901 x 2166 = 7806264

Least Common Multiple of 3604,8664 with GCF Formula

Least Common Multiple of 3604,8664 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 3604,8664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3604,8664) = 4

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

GCF(3604,8664) x common factors =4 x 1 = 4

LCM(3604,8664) = ( 3604 × 8664 ) / 4

LCM(3604,8664) = 31225056 / 4

LCM(3604,8664) = 7806264


Lets's calculate GCF of 786,518

2 786, 518
393, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7806264/2

Therefore the LCM of Fractions 3604/786,8664/518 is 3903132

Greatest Common Factor of 786,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,518 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 786,518 . The biggest common factor number is the GCF number.
So the greatest common factor 786,518 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 3604/786, 8664/518

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 3604/786, 8664/518?

Answer: LCM of Numerators as per given numbers 3604/786, 8664/518 is

LCM of Numerators i.e. for 3604,8664 is 7806264

GCF of denominators i.e. for 786,518 is 2.

Thus, LCM of Fractions is 3903132.Finally, LCM of Fractions for 3604/786, 8664/518 is 3903132.