Least Common Multiple of 87/786, 3659/2926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/786, 3659/2926 quickly i.e. 318333/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/786, 3659/2926 is 318333/2.

LCM(87/786, 3659/2926) = 318333/2

LCM of 87/786, 3659/2926

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 87/786,3659/2926

Given numbers are 87/786,3659/2926

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 87,3659

Least Common Multiple of Numerators i.e. LCM of 87,3659 is 318333.

GCF of Denominators means GCF of 786,2926 as per the given fractions.

GCF of 786,2926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,3659

LCM of Fractions 87/786,3659/2926 is 318333/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 318333

Least Common Multiple of 87,3659 with GCF Formula

Least Common Multiple of 87,3659 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 87,3659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3659) = 1

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

GCF(87,3659) x common factors =1 x 1 = 1

LCM(87,3659) = ( 87 × 3659 ) / 1

LCM(87,3659) = 318333 / 1

LCM(87,3659) = 318333


Lets's calculate GCF of 786,2926

2 786, 2926
393, 1463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318333/2

Therefore the LCM of Fractions 87/786,3659/2926 is 318333/2

Greatest Common Factor of 786,2926 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,2926 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 2926

List of positive integer factors of 2926 that divides 2926 without a remainder.

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Greatest Common Factor

We found the factors 786,2926 . The biggest common factor number is the GCF number.
So the greatest common factor 786,2926 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 87/786, 3659/2926

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 87/786, 3659/2926?

Answer: LCM of Numerators as per given numbers 87/786, 3659/2926 is

LCM of Numerators i.e. for 87,3659 is 318333

GCF of denominators i.e. for 786,2926 is 2.

Thus, LCM of Fractions is 318333/2.Finally, LCM of Fractions for 87/786, 3659/2926 is 318333/2.