Least Common Multiple of 56/293, 196/871, 386/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/293, 196/871, 386/599 quickly i.e. 75656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/293, 196/871, 386/599 is 75656.

LCM(56/293, 196/871, 386/599) = 75656

LCM of 56/293, 196/871, 386/599

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 56/293,196/871,386/599

Given numbers are 56/293,196/871,386/599

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 56,196,386

Least Common Multiple of Numerators i.e. LCM of 56,196,386 is 75656.

GCF of Denominators means GCF of 293,871,599 as per the given fractions.

GCF of 293,871,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,196,386

LCM of Fractions 56/293,196/871,386/599 is 75656

2 56, 196, 386
2 28, 98, 193
7 14, 49, 193
2, 7, 193

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 7 x 193 = 75656

Least Common Multiple of 56,196,386 with GCF Formula

Least Common Multiple of 56,196,386 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 56,196,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,196,386) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(56,196,386) x common factors =2 x 28 = 56

LCM(56,196,386) = ( 56 × 196 × 386 ) / 56

LCM(56,196,386) = 4236736 / 56

LCM(56,196,386) = 75656


Lets's calculate GCF of 293,871,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75656/1

Therefore the LCM of Fractions 56/293,196/871,386/599 is 75656

Greatest Common Factor of 293,871,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,871,599 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 293,871,599 . The biggest common factor number is the GCF number.
So the greatest common factor 293,871,599 is 1.


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 56/293, 196/871, 386/599

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 56/293, 196/871, 386/599?

Answer: LCM of Numerators as per given numbers 56/293, 196/871, 386/599 is

LCM of Numerators i.e. for 56,196,386 is 75656

GCF of denominators i.e. for 293,871,599 is 1.

Thus, LCM of Fractions is 75656.Finally, LCM of Fractions for 56/293, 196/871, 386/599 is 75656.