Least Common Multiple of 1193/56, 6820/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1193/56, 6820/254 quickly i.e. 4068130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1193/56, 6820/254 is 4068130.

LCM(1193/56, 6820/254) = 4068130

LCM of 1193/56, 6820/254

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 1193/56,6820/254

Given numbers are 1193/56,6820/254

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 1193,6820

Least Common Multiple of Numerators i.e. LCM of 1193,6820 is 8136260.

GCF of Denominators means GCF of 56,254 as per the given fractions.

GCF of 56,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1193,6820

LCM of Fractions 1193/56,6820/254 is 4068130

Given numbers has no common factors except 1. So, there LCM is their product i.e 8136260

Least Common Multiple of 1193,6820 with GCF Formula

Least Common Multiple of 1193,6820 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 1193,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1193,6820) = 1

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

GCF(1193,6820) x common factors =1 x 1 = 1

LCM(1193,6820) = ( 1193 × 6820 ) / 1

LCM(1193,6820) = 8136260 / 1

LCM(1193,6820) = 8136260


Lets's calculate GCF of 56,254

2 56, 254
28, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8136260/2

Therefore the LCM of Fractions 1193/56,6820/254 is 4068130

Greatest Common Factor of 56,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,254 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 56,254 . The biggest common factor number is the GCF number.
So the greatest common factor 56,254 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1193/56, 6820/254

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 1193/56, 6820/254?

Answer: LCM of Numerators as per given numbers 1193/56, 6820/254 is

LCM of Numerators i.e. for 1193,6820 is 8136260

GCF of denominators i.e. for 56,254 is 2.

Thus, LCM of Fractions is 4068130.Finally, LCM of Fractions for 1193/56, 6820/254 is 4068130.