Least Common Multiple of 2278/652, 3659/2896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2278/652, 3659/2896 quickly i.e. 8335202/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2278/652, 3659/2896 is 8335202/4.

LCM(2278/652, 3659/2896) = 8335202/4

LCM of 2278/652, 3659/2896

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 2278/652,3659/2896

Given numbers are 2278/652,3659/2896

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 2278,3659

Least Common Multiple of Numerators i.e. LCM of 2278,3659 is 8335202.

GCF of Denominators means GCF of 652,2896 as per the given fractions.

GCF of 652,2896 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2278,3659

LCM of Fractions 2278/652,3659/2896 is 8335202/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 8335202

Least Common Multiple of 2278,3659 with GCF Formula

Least Common Multiple of 2278,3659 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 2278,3659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2278,3659) = 1

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

GCF(2278,3659) x common factors =1 x 1 = 1

LCM(2278,3659) = ( 2278 × 3659 ) / 1

LCM(2278,3659) = 8335202 / 1

LCM(2278,3659) = 8335202


Lets's calculate GCF of 652,2896

2 652, 2896
2 326, 1448
163, 724

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8335202/4

Therefore the LCM of Fractions 2278/652,3659/2896 is 8335202/4

Greatest Common Factor of 652,2896 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,2896 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 2896

List of positive integer factors of 2896 that divides 2896 without a remainder.

1,2,4,8,16,181,362,724,1448,2896

Greatest Common Factor

We found the factors 652,2896 . The biggest common factor number is the GCF number.
So the greatest common factor 652,2896 is 4.


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 2278/652, 3659/2896

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 2278/652, 3659/2896?

Answer: LCM of Numerators as per given numbers 2278/652, 3659/2896 is

LCM of Numerators i.e. for 2278,3659 is 8335202

GCF of denominators i.e. for 652,2896 is 4.

Thus, LCM of Fractions is 8335202/4.Finally, LCM of Fractions for 2278/652, 3659/2896 is 8335202/4.