Least Common Multiple of 83/354, 61/148, 806/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/354, 61/148, 806/324 quickly i.e. 2040389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/354, 61/148, 806/324 is 2040389.

LCM(83/354, 61/148, 806/324) = 2040389

LCM of 83/354, 61/148, 806/324

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 83/354,61/148,806/324

Given numbers are 83/354,61/148,806/324

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 83,61,806

Least Common Multiple of Numerators i.e. LCM of 83,61,806 is 4080778.

GCF of Denominators means GCF of 354,148,324 as per the given fractions.

GCF of 354,148,324 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,61,806

LCM of Fractions 83/354,61/148,806/324 is 2040389

Given numbers has no common factors except 1. So, there LCM is their product i.e 4080778

Least Common Multiple of 83,61,806 with GCF Formula

Least Common Multiple of 83,61,806 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 83,61,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,61,806) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,61,806) x common factors =1 x 1 = 1

LCM(83,61,806) = ( 83 × 61 × 806 ) / 1

LCM(83,61,806) = 4080778 / 1

LCM(83,61,806) = 4080778


Lets's calculate GCF of 354,148,324

2 354, 148, 324
177, 74, 162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4080778/2

Therefore the LCM of Fractions 83/354,61/148,806/324 is 2040389

Greatest Common Factor of 354,148,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,148,324 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 354,148,324 . The biggest common factor number is the GCF number.
So the greatest common factor 354,148,324 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 83/354, 61/148, 806/324

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 83/354, 61/148, 806/324?

Answer: LCM of Numerators as per given numbers 83/354, 61/148, 806/324 is

LCM of Numerators i.e. for 83,61,806 is 4080778

GCF of denominators i.e. for 354,148,324 is 2.

Thus, LCM of Fractions is 2040389.Finally, LCM of Fractions for 83/354, 61/148, 806/324 is 2040389.