Least Common Multiple of 60/867, 16/549, 351/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/867, 16/549, 351/117 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/867, 16/549, 351/117 is 9360.

LCM(60/867, 16/549, 351/117) = 9360

LCM of 60/867, 16/549, 351/117

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 60/867,16/549,351/117

Given numbers are 60/867,16/549,351/117

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 60,16,351

Least Common Multiple of Numerators i.e. LCM of 60,16,351 is 28080.

GCF of Denominators means GCF of 867,549,117 as per the given fractions.

GCF of 867,549,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,16,351

LCM of Fractions 60/867,16/549,351/117 is 9360

2 60, 16, 351
2 30, 8, 351
3 15, 4, 351
5, 4, 117

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 117 = 28080

Least Common Multiple of 60,16,351 with GCF Formula

Least Common Multiple of 60,16,351 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 60,16,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,16,351) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,16,351) x common factors =1 x 12 = 12

LCM(60,16,351) = ( 60 × 16 × 351 ) / 12

LCM(60,16,351) = 336960 / 12

LCM(60,16,351) = 28080


Lets's calculate GCF of 867,549,117

3 867, 549, 117
289, 183, 39

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28080/3

Therefore the LCM of Fractions 60/867,16/549,351/117 is 9360

Greatest Common Factor of 867,549,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,549,117 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 867,549,117 . The biggest common factor number is the GCF number.
So the greatest common factor 867,549,117 is 3.


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 60/867, 16/549, 351/117

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 60/867, 16/549, 351/117?

Answer: LCM of Numerators as per given numbers 60/867, 16/549, 351/117 is

LCM of Numerators i.e. for 60,16,351 is 28080

GCF of denominators i.e. for 867,549,117 is 3.

Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 60/867, 16/549, 351/117 is 9360.