Least Common Multiple of 60/850, 5384/1185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/850, 5384/1185 quickly i.e. 16152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/850, 5384/1185 is 16152.

LCM(60/850, 5384/1185) = 16152

LCM of 60/850, 5384/1185

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 60/850,5384/1185

Given numbers are 60/850,5384/1185

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 60,5384

Least Common Multiple of Numerators i.e. LCM of 60,5384 is 80760.

GCF of Denominators means GCF of 850,1185 as per the given fractions.

GCF of 850,1185 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,5384

LCM of Fractions 60/850,5384/1185 is 16152

2 60, 5384
2 30, 2692
15, 1346

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1346 = 80760

Least Common Multiple of 60,5384 with GCF Formula

Least Common Multiple of 60,5384 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 60,5384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,5384) = 4

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

GCF(60,5384) x common factors =4 x 1 = 4

LCM(60,5384) = ( 60 × 5384 ) / 4

LCM(60,5384) = 323040 / 4

LCM(60,5384) = 80760


Lets's calculate GCF of 850,1185

5 850, 1185
170, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80760/5

Therefore the LCM of Fractions 60/850,5384/1185 is 16152

Greatest Common Factor of 850,1185 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,1185 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1,3,5,15,79,237,395,1185

Greatest Common Factor

We found the factors 850,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 850,1185 is 5.


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 60/850, 5384/1185

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 60/850, 5384/1185?

Answer: LCM of Numerators as per given numbers 60/850, 5384/1185 is

LCM of Numerators i.e. for 60,5384 is 80760

GCF of denominators i.e. for 850,1185 is 5.

Thus, LCM of Fractions is 16152.Finally, LCM of Fractions for 60/850, 5384/1185 is 16152.