Least Common Multiple of 56/596, 2739/3104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/596, 2739/3104 quickly i.e. 38346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/596, 2739/3104 is 38346.

LCM(56/596, 2739/3104) = 38346

LCM of 56/596, 2739/3104

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 56/596,2739/3104

Given numbers are 56/596,2739/3104

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 56,2739

Least Common Multiple of Numerators i.e. LCM of 56,2739 is 153384.

GCF of Denominators means GCF of 596,3104 as per the given fractions.

GCF of 596,3104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,2739

LCM of Fractions 56/596,2739/3104 is 38346

Given numbers has no common factors except 1. So, there LCM is their product i.e 153384

Least Common Multiple of 56,2739 with GCF Formula

Least Common Multiple of 56,2739 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 56,2739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,2739) = 1

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

GCF(56,2739) x common factors =1 x 1 = 1

LCM(56,2739) = ( 56 × 2739 ) / 1

LCM(56,2739) = 153384 / 1

LCM(56,2739) = 153384


Lets's calculate GCF of 596,3104

2 596, 3104
2 298, 1552
149, 776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153384/4

Therefore the LCM of Fractions 56/596,2739/3104 is 38346

Greatest Common Factor of 596,3104 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,3104 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 3104

List of positive integer factors of 3104 that divides 3104 without a remainder.

1,2,4,8,16,32,97,194,388,776,1552,3104

Greatest Common Factor

We found the factors 596,3104 . The biggest common factor number is the GCF number.
So the greatest common factor 596,3104 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 56/596, 2739/3104

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 56/596, 2739/3104?

Answer: LCM of Numerators as per given numbers 56/596, 2739/3104 is

LCM of Numerators i.e. for 56,2739 is 153384

GCF of denominators i.e. for 596,3104 is 4.

Thus, LCM of Fractions is 38346.Finally, LCM of Fractions for 56/596, 2739/3104 is 38346.