Least Common Multiple of 16/810, 930/287, 351/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/810, 930/287, 351/372 quickly i.e. 870480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/810, 930/287, 351/372 is 870480.

LCM(16/810, 930/287, 351/372) = 870480

LCM of 16/810, 930/287, 351/372

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 16/810,930/287,351/372

Given numbers are 16/810,930/287,351/372

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 16,930,351

Least Common Multiple of Numerators i.e. LCM of 16,930,351 is 870480.

GCF of Denominators means GCF of 810,287,372 as per the given fractions.

GCF of 810,287,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,930,351

LCM of Fractions 16/810,930/287,351/372 is 870480

2 16, 930, 351
3 8, 465, 351
8, 155, 117

∴ So the LCM of the given numbers is 2 x 3 x 8 x 155 x 117 = 870480

Least Common Multiple of 16,930,351 with GCF Formula

Least Common Multiple of 16,930,351 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 16,930,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,930,351) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(16,930,351) x common factors =1 x 6 = 6

LCM(16,930,351) = ( 16 × 930 × 351 ) / 6

LCM(16,930,351) = 5222880 / 6

LCM(16,930,351) = 870480


Lets's calculate GCF of 810,287,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870480/1

Therefore the LCM of Fractions 16/810,930/287,351/372 is 870480

Greatest Common Factor of 810,287,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,287,372 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 810,287,372 . The biggest common factor number is the GCF number.
So the greatest common factor 810,287,372 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 16/810, 930/287, 351/372

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 16/810, 930/287, 351/372?

Answer: LCM of Numerators as per given numbers 16/810, 930/287, 351/372 is

LCM of Numerators i.e. for 16,930,351 is 870480

GCF of denominators i.e. for 810,287,372 is 1.

Thus, LCM of Fractions is 870480.Finally, LCM of Fractions for 16/810, 930/287, 351/372 is 870480.