Least Common Multiple of 320/92, 612/75, 247/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/92, 612/75, 247/842 quickly i.e. 12093120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/92, 612/75, 247/842 is 12093120.

LCM(320/92, 612/75, 247/842) = 12093120

LCM of 320/92, 612/75, 247/842

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 320/92,612/75,247/842

Given numbers are 320/92,612/75,247/842

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 320,612,247

Least Common Multiple of Numerators i.e. LCM of 320,612,247 is 12093120.

GCF of Denominators means GCF of 92,75,842 as per the given fractions.

GCF of 92,75,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,612,247

LCM of Fractions 320/92,612/75,247/842 is 12093120

2 320, 612, 247
2 160, 306, 247
80, 153, 247

∴ So the LCM of the given numbers is 2 x 2 x 80 x 153 x 247 = 12093120

Least Common Multiple of 320,612,247 with GCF Formula

Least Common Multiple of 320,612,247 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 320,612,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,612,247) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(320,612,247) x common factors =1 x 4 = 4

LCM(320,612,247) = ( 320 × 612 × 247 ) / 4

LCM(320,612,247) = 48372480 / 4

LCM(320,612,247) = 12093120


Lets's calculate GCF of 92,75,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12093120/1

Therefore the LCM of Fractions 320/92,612/75,247/842 is 12093120

Greatest Common Factor of 92,75,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,75,842 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 92,75,842 . The biggest common factor number is the GCF number.
So the greatest common factor 92,75,842 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 320/92, 612/75, 247/842

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 320/92, 612/75, 247/842?

Answer: LCM of Numerators as per given numbers 320/92, 612/75, 247/842 is

LCM of Numerators i.e. for 320,612,247 is 12093120

GCF of denominators i.e. for 92,75,842 is 1.

Thus, LCM of Fractions is 12093120.Finally, LCM of Fractions for 320/92, 612/75, 247/842 is 12093120.