Least Common Multiple of 105/856, 273/358, 302/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/856, 273/358, 302/350 quickly i.e. 206115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/856, 273/358, 302/350 is 206115.

LCM(105/856, 273/358, 302/350) = 206115

LCM of 105/856, 273/358, 302/350

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 105/856,273/358,302/350

Given numbers are 105/856,273/358,302/350

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 105,273,302

Least Common Multiple of Numerators i.e. LCM of 105,273,302 is 412230.

GCF of Denominators means GCF of 856,358,350 as per the given fractions.

GCF of 856,358,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,273,302

LCM of Fractions 105/856,273/358,302/350 is 206115

3 105, 273, 302
7 35, 91, 302
5, 13, 302

∴ So the LCM of the given numbers is 3 x 7 x 5 x 13 x 302 = 412230

Least Common Multiple of 105,273,302 with GCF Formula

Least Common Multiple of 105,273,302 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 105,273,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,273,302) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(105,273,302) x common factors =1 x 21 = 21

LCM(105,273,302) = ( 105 × 273 × 302 ) / 21

LCM(105,273,302) = 8656830 / 21

LCM(105,273,302) = 412230


Lets's calculate GCF of 856,358,350

2 856, 358, 350
428, 179, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 412230/2

Therefore the LCM of Fractions 105/856,273/358,302/350 is 206115

Greatest Common Factor of 856,358,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,358,350 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 856,358,350 . The biggest common factor number is the GCF number.
So the greatest common factor 856,358,350 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 105/856, 273/358, 302/350

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 105/856, 273/358, 302/350?

Answer: LCM of Numerators as per given numbers 105/856, 273/358, 302/350 is

LCM of Numerators i.e. for 105,273,302 is 412230

GCF of denominators i.e. for 856,358,350 is 2.

Thus, LCM of Fractions is 206115.Finally, LCM of Fractions for 105/856, 273/358, 302/350 is 206115.