Least Common Multiple of 16/30, 506/58, 864/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/30, 506/58, 864/607 quickly i.e. 218592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/30, 506/58, 864/607 is 218592.

LCM(16/30, 506/58, 864/607) = 218592

LCM of 16/30, 506/58, 864/607

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 16/30,506/58,864/607

Given numbers are 16/30,506/58,864/607

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 16,506,864

Least Common Multiple of Numerators i.e. LCM of 16,506,864 is 218592.

GCF of Denominators means GCF of 30,58,607 as per the given fractions.

GCF of 30,58,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,506,864

LCM of Fractions 16/30,506/58,864/607 is 218592

2 16, 506, 864
2 8, 253, 432
2 4, 253, 216
2 2, 253, 108
1, 253, 54

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 253 x 54 = 218592

Least Common Multiple of 16,506,864 with GCF Formula

Least Common Multiple of 16,506,864 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 16,506,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,506,864) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,506,864) x common factors =2 x 16 = 32

LCM(16,506,864) = ( 16 × 506 × 864 ) / 32

LCM(16,506,864) = 6994944 / 32

LCM(16,506,864) = 218592


Lets's calculate GCF of 30,58,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218592/1

Therefore the LCM of Fractions 16/30,506/58,864/607 is 218592

Greatest Common Factor of 30,58,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,58,607 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 30,58,607 . The biggest common factor number is the GCF number.
So the greatest common factor 30,58,607 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 16/30, 506/58, 864/607

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 16/30, 506/58, 864/607?

Answer: LCM of Numerators as per given numbers 16/30, 506/58, 864/607 is

LCM of Numerators i.e. for 16,506,864 is 218592

GCF of denominators i.e. for 30,58,607 is 1.

Thus, LCM of Fractions is 218592.Finally, LCM of Fractions for 16/30, 506/58, 864/607 is 218592.