Least Common Multiple of 31/85, 94/60, 388/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/85, 94/60, 388/560 quickly i.e. 565316/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/85, 94/60, 388/560 is 565316/5.

LCM(31/85, 94/60, 388/560) = 565316/5

LCM of 31/85, 94/60, 388/560

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 31/85,94/60,388/560

Given numbers are 31/85,94/60,388/560

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 31,94,388

Least Common Multiple of Numerators i.e. LCM of 31,94,388 is 565316.

GCF of Denominators means GCF of 85,60,560 as per the given fractions.

GCF of 85,60,560 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,94,388

LCM of Fractions 31/85,94/60,388/560 is 565316/5

2 31, 94, 388
31, 47, 194

∴ So the LCM of the given numbers is 2 x 31 x 47 x 194 = 565316

Least Common Multiple of 31,94,388 with GCF Formula

Least Common Multiple of 31,94,388 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 31,94,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,94,388) = 1

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

GCF(31,94,388) x common factors =1 x 2 = 2

LCM(31,94,388) = ( 31 × 94 × 388 ) / 2

LCM(31,94,388) = 1130632 / 2

LCM(31,94,388) = 565316


Lets's calculate GCF of 85,60,560

5 85, 60, 560
17, 12, 112

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 565316/5

Therefore the LCM of Fractions 31/85,94/60,388/560 is 565316/5

Greatest Common Factor of 85,60,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,60,560 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 85,60,560 . The biggest common factor number is the GCF number.
So the greatest common factor 85,60,560 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/85, 94/60, 388/560

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 31/85, 94/60, 388/560?

Answer: LCM of Numerators as per given numbers 31/85, 94/60, 388/560 is

LCM of Numerators i.e. for 31,94,388 is 565316

GCF of denominators i.e. for 85,60,560 is 5.

Thus, LCM of Fractions is 565316/5.Finally, LCM of Fractions for 31/85, 94/60, 388/560 is 565316/5.