Least Common Multiple of 93/486, 508/142, 416/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/486, 508/142, 416/623 quickly i.e. 4913376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/486, 508/142, 416/623 is 4913376.

LCM(93/486, 508/142, 416/623) = 4913376

LCM of 93/486, 508/142, 416/623

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 93/486,508/142,416/623

Given numbers are 93/486,508/142,416/623

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 93,508,416

Least Common Multiple of Numerators i.e. LCM of 93,508,416 is 4913376.

GCF of Denominators means GCF of 486,142,623 as per the given fractions.

GCF of 486,142,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,508,416

LCM of Fractions 93/486,508/142,416/623 is 4913376

2 93, 508, 416
2 93, 254, 208
93, 127, 104

∴ So the LCM of the given numbers is 2 x 2 x 93 x 127 x 104 = 4913376

Least Common Multiple of 93,508,416 with GCF Formula

Least Common Multiple of 93,508,416 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 93,508,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,508,416) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(93,508,416) x common factors =1 x 4 = 4

LCM(93,508,416) = ( 93 × 508 × 416 ) / 4

LCM(93,508,416) = 19653504 / 4

LCM(93,508,416) = 4913376


Lets's calculate GCF of 486,142,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4913376/1

Therefore the LCM of Fractions 93/486,508/142,416/623 is 4913376

Greatest Common Factor of 486,142,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,142,623 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 486,142,623 . The biggest common factor number is the GCF number.
So the greatest common factor 486,142,623 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/486, 508/142, 416/623

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 93/486, 508/142, 416/623?

Answer: LCM of Numerators as per given numbers 93/486, 508/142, 416/623 is

LCM of Numerators i.e. for 93,508,416 is 4913376

GCF of denominators i.e. for 486,142,623 is 1.

Thus, LCM of Fractions is 4913376.Finally, LCM of Fractions for 93/486, 508/142, 416/623 is 4913376.