Least Common Multiple of 16/507, 833/705, 630/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/507, 833/705, 630/478 quickly i.e. 599760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/507, 833/705, 630/478 is 599760.

LCM(16/507, 833/705, 630/478) = 599760

LCM of 16/507, 833/705, 630/478

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 16/507,833/705,630/478

Given numbers are 16/507,833/705,630/478

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 16,833,630

Least Common Multiple of Numerators i.e. LCM of 16,833,630 is 599760.

GCF of Denominators means GCF of 507,705,478 as per the given fractions.

GCF of 507,705,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,833,630

LCM of Fractions 16/507,833/705,630/478 is 599760

2 16, 833, 630
7 8, 833, 315
8, 119, 45

∴ So the LCM of the given numbers is 2 x 7 x 8 x 119 x 45 = 599760

Least Common Multiple of 16,833,630 with GCF Formula

Least Common Multiple of 16,833,630 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 16,833,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,833,630) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(16,833,630) x common factors =1 x 14 = 14

LCM(16,833,630) = ( 16 × 833 × 630 ) / 14

LCM(16,833,630) = 8396640 / 14

LCM(16,833,630) = 599760


Lets's calculate GCF of 507,705,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599760/1

Therefore the LCM of Fractions 16/507,833/705,630/478 is 599760

Greatest Common Factor of 507,705,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,705,478 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 507,705,478 . The biggest common factor number is the GCF number.
So the greatest common factor 507,705,478 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/507, 833/705, 630/478

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 16/507, 833/705, 630/478?

Answer: LCM of Numerators as per given numbers 16/507, 833/705, 630/478 is

LCM of Numerators i.e. for 16,833,630 is 599760

GCF of denominators i.e. for 507,705,478 is 1.

Thus, LCM of Fractions is 599760.Finally, LCM of Fractions for 16/507, 833/705, 630/478 is 599760.