Least Common Multiple of 112/60, 930/74, 314/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/60, 930/74, 314/579 quickly i.e. 8176560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/60, 930/74, 314/579 is 8176560.

LCM(112/60, 930/74, 314/579) = 8176560

LCM of 112/60, 930/74, 314/579

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 112/60,930/74,314/579

Given numbers are 112/60,930/74,314/579

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 112,930,314

Least Common Multiple of Numerators i.e. LCM of 112,930,314 is 8176560.

GCF of Denominators means GCF of 60,74,579 as per the given fractions.

GCF of 60,74,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,930,314

LCM of Fractions 112/60,930/74,314/579 is 8176560

2 112, 930, 314
56, 465, 157

∴ So the LCM of the given numbers is 2 x 56 x 465 x 157 = 8176560

Least Common Multiple of 112,930,314 with GCF Formula

Least Common Multiple of 112,930,314 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 112,930,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,930,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(112,930,314) x common factors =2 x 2 = 4

LCM(112,930,314) = ( 112 × 930 × 314 ) / 4

LCM(112,930,314) = 32706240 / 4

LCM(112,930,314) = 8176560


Lets's calculate GCF of 60,74,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8176560/1

Therefore the LCM of Fractions 112/60,930/74,314/579 is 8176560

Greatest Common Factor of 60,74,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,74,579 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 60,74,579 . The biggest common factor number is the GCF number.
So the greatest common factor 60,74,579 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 112/60, 930/74, 314/579

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 112/60, 930/74, 314/579?

Answer: LCM of Numerators as per given numbers 112/60, 930/74, 314/579 is

LCM of Numerators i.e. for 112,930,314 is 8176560

GCF of denominators i.e. for 60,74,579 is 1.

Thus, LCM of Fractions is 8176560.Finally, LCM of Fractions for 112/60, 930/74, 314/579 is 8176560.