Least Common Multiple of 208/84, 382/28, 858/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/84, 382/28, 858/616 quickly i.e. 1311024/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/84, 382/28, 858/616 is 1311024/28.

LCM(208/84, 382/28, 858/616) = 1311024/28

LCM of 208/84, 382/28, 858/616

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 208/84,382/28,858/616

Given numbers are 208/84,382/28,858/616

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 208,382,858

Least Common Multiple of Numerators i.e. LCM of 208,382,858 is 1311024.

GCF of Denominators means GCF of 84,28,616 as per the given fractions.

GCF of 84,28,616 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,382,858

LCM of Fractions 208/84,382/28,858/616 is 1311024/28

2 208, 382, 858
13 104, 191, 429
8, 191, 33

∴ So the LCM of the given numbers is 2 x 13 x 8 x 191 x 33 = 1311024

Least Common Multiple of 208,382,858 with GCF Formula

Least Common Multiple of 208,382,858 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 208,382,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,382,858) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(208,382,858) x common factors =2 x 26 = 52

LCM(208,382,858) = ( 208 × 382 × 858 ) / 52

LCM(208,382,858) = 68173248 / 52

LCM(208,382,858) = 1311024


Lets's calculate GCF of 84,28,616

2 84, 28, 616
2 42, 14, 308
7 21, 7, 154
3, 1, 22

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1311024/28

Therefore the LCM of Fractions 208/84,382/28,858/616 is 1311024/28

Greatest Common Factor of 84,28,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,28,616 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 84,28,616 . The biggest common factor number is the GCF number.
So the greatest common factor 84,28,616 is 28.


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 208/84, 382/28, 858/616

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 208/84, 382/28, 858/616?

Answer: LCM of Numerators as per given numbers 208/84, 382/28, 858/616 is

LCM of Numerators i.e. for 208,382,858 is 1311024

GCF of denominators i.e. for 84,28,616 is 28.

Thus, LCM of Fractions is 1311024/28.Finally, LCM of Fractions for 208/84, 382/28, 858/616 is 1311024/28.