Least Common Multiple of 49/596, 6959/7412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/596, 6959/7412 quickly i.e. 340991/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/596, 6959/7412 is 340991/4.

LCM(49/596, 6959/7412) = 340991/4

LCM of 49/596, 6959/7412

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 49/596,6959/7412

Given numbers are 49/596,6959/7412

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 49,6959

Least Common Multiple of Numerators i.e. LCM of 49,6959 is 340991.

GCF of Denominators means GCF of 596,7412 as per the given fractions.

GCF of 596,7412 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,6959

LCM of Fractions 49/596,6959/7412 is 340991/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 340991

Least Common Multiple of 49,6959 with GCF Formula

Least Common Multiple of 49,6959 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 49,6959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,6959) = 1

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

GCF(49,6959) x common factors =1 x 1 = 1

LCM(49,6959) = ( 49 × 6959 ) / 1

LCM(49,6959) = 340991 / 1

LCM(49,6959) = 340991


Lets's calculate GCF of 596,7412

2 596, 7412
2 298, 3706
149, 1853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340991/4

Therefore the LCM of Fractions 49/596,6959/7412 is 340991/4

Greatest Common Factor of 596,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,7412 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 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 596,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 596,7412 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 49/596, 6959/7412

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 49/596, 6959/7412?

Answer: LCM of Numerators as per given numbers 49/596, 6959/7412 is

LCM of Numerators i.e. for 49,6959 is 340991

GCF of denominators i.e. for 596,7412 is 4.

Thus, LCM of Fractions is 340991/4.Finally, LCM of Fractions for 49/596, 6959/7412 is 340991/4.