Least Common Multiple of 93/708, 273/890, 416/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/708, 273/890, 416/618 quickly i.e. 135408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/708, 273/890, 416/618 is 135408.

LCM(93/708, 273/890, 416/618) = 135408

LCM of 93/708, 273/890, 416/618

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 93/708,273/890,416/618

Given numbers are 93/708,273/890,416/618

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 93,273,416

Least Common Multiple of Numerators i.e. LCM of 93,273,416 is 270816.

GCF of Denominators means GCF of 708,890,618 as per the given fractions.

GCF of 708,890,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,273,416

LCM of Fractions 93/708,273/890,416/618 is 135408

3 93, 273, 416
13 31, 91, 416
31, 7, 32

∴ So the LCM of the given numbers is 3 x 13 x 31 x 7 x 32 = 270816

Least Common Multiple of 93,273,416 with GCF Formula

Least Common Multiple of 93,273,416 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 93,273,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,273,416) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(93,273,416) x common factors =1 x 39 = 39

LCM(93,273,416) = ( 93 × 273 × 416 ) / 39

LCM(93,273,416) = 10561824 / 39

LCM(93,273,416) = 270816


Lets's calculate GCF of 708,890,618

2 708, 890, 618
354, 445, 309

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270816/2

Therefore the LCM of Fractions 93/708,273/890,416/618 is 135408

Greatest Common Factor of 708,890,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,890,618 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 708,890,618 . The biggest common factor number is the GCF number.
So the greatest common factor 708,890,618 is 2.


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 93/708, 273/890, 416/618

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 93/708, 273/890, 416/618?

Answer: LCM of Numerators as per given numbers 93/708, 273/890, 416/618 is

LCM of Numerators i.e. for 93,273,416 is 270816

GCF of denominators i.e. for 708,890,618 is 2.

Thus, LCM of Fractions is 135408.Finally, LCM of Fractions for 93/708, 273/890, 416/618 is 135408.