Least Common Multiple of 593/941, 296/682, 785/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 593/941, 296/682, 785/349 quickly i.e. 137789480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 593/941, 296/682, 785/349 is 137789480.

LCM(593/941, 296/682, 785/349) = 137789480

LCM of 593/941, 296/682, 785/349

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 593/941,296/682,785/349

Given numbers are 593/941,296/682,785/349

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 593,296,785

Least Common Multiple of Numerators i.e. LCM of 593,296,785 is 137789480.

GCF of Denominators means GCF of 941,682,349 as per the given fractions.

GCF of 941,682,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 593,296,785

LCM of Fractions 593/941,296/682,785/349 is 137789480

Given numbers has no common factors except 1. So, there LCM is their product i.e 137789480

Least Common Multiple of 593,296,785 with GCF Formula

Least Common Multiple of 593,296,785 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 593,296,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,296,785) = 1

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

GCF(593,296,785) x common factors =1 x 1 = 1

LCM(593,296,785) = ( 593 × 296 × 785 ) / 1

LCM(593,296,785) = 137789480 / 1

LCM(593,296,785) = 137789480


Lets's calculate GCF of 941,682,349

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137789480/1

Therefore the LCM of Fractions 593/941,296/682,785/349 is 137789480

Greatest Common Factor of 941,682,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,682,349 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 941,682,349 . The biggest common factor number is the GCF number.
So the greatest common factor 941,682,349 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 593/941, 296/682, 785/349

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 593/941, 296/682, 785/349?

Answer: LCM of Numerators as per given numbers 593/941, 296/682, 785/349 is

LCM of Numerators i.e. for 593,296,785 is 137789480

GCF of denominators i.e. for 941,682,349 is 1.

Thus, LCM of Fractions is 137789480.Finally, LCM of Fractions for 593/941, 296/682, 785/349 is 137789480.