Least Common Multiple of 345/36, 922/87, 354/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/36, 922/87, 354/856 quickly i.e. 18767310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/36, 922/87, 354/856 is 18767310.

LCM(345/36, 922/87, 354/856) = 18767310

LCM of 345/36, 922/87, 354/856

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 345/36,922/87,354/856

Given numbers are 345/36,922/87,354/856

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 345,922,354

Least Common Multiple of Numerators i.e. LCM of 345,922,354 is 18767310.

GCF of Denominators means GCF of 36,87,856 as per the given fractions.

GCF of 36,87,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,922,354

LCM of Fractions 345/36,922/87,354/856 is 18767310

2 345, 922, 354
3 345, 461, 177
115, 461, 59

∴ So the LCM of the given numbers is 2 x 3 x 115 x 461 x 59 = 18767310

Least Common Multiple of 345,922,354 with GCF Formula

Least Common Multiple of 345,922,354 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 345,922,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,922,354) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(345,922,354) x common factors =1 x 6 = 6

LCM(345,922,354) = ( 345 × 922 × 354 ) / 6

LCM(345,922,354) = 112603860 / 6

LCM(345,922,354) = 18767310


Lets's calculate GCF of 36,87,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18767310/1

Therefore the LCM of Fractions 345/36,922/87,354/856 is 18767310

Greatest Common Factor of 36,87,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,87,856 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 856

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

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

Greatest Common Factor

We found the factors 36,87,856 . The biggest common factor number is the GCF number.
So the greatest common factor 36,87,856 is 1.


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 345/36, 922/87, 354/856

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 345/36, 922/87, 354/856?

Answer: LCM of Numerators as per given numbers 345/36, 922/87, 354/856 is

LCM of Numerators i.e. for 345,922,354 is 18767310

GCF of denominators i.e. for 36,87,856 is 1.

Thus, LCM of Fractions is 18767310.Finally, LCM of Fractions for 345/36, 922/87, 354/856 is 18767310.