Least Common Multiple of 41/723, 354/708, 148/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/723, 354/708, 148/806 quickly i.e. 1074036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/723, 354/708, 148/806 is 1074036.

LCM(41/723, 354/708, 148/806) = 1074036

LCM of 41/723, 354/708, 148/806

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 41/723,354/708,148/806

Given numbers are 41/723,354/708,148/806

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 41,354,148

Least Common Multiple of Numerators i.e. LCM of 41,354,148 is 1074036.

GCF of Denominators means GCF of 723,708,806 as per the given fractions.

GCF of 723,708,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,354,148

LCM of Fractions 41/723,354/708,148/806 is 1074036

2 41, 354, 148
41, 177, 74

∴ So the LCM of the given numbers is 2 x 41 x 177 x 74 = 1074036

Least Common Multiple of 41,354,148 with GCF Formula

Least Common Multiple of 41,354,148 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 41,354,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,354,148) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,354,148) x common factors =1 x 2 = 2

LCM(41,354,148) = ( 41 × 354 × 148 ) / 2

LCM(41,354,148) = 2148072 / 2

LCM(41,354,148) = 1074036


Lets's calculate GCF of 723,708,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074036/1

Therefore the LCM of Fractions 41/723,354/708,148/806 is 1074036

Greatest Common Factor of 723,708,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,708,806 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

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 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 723,708,806 . The biggest common factor number is the GCF number.
So the greatest common factor 723,708,806 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 41/723, 354/708, 148/806

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 41/723, 354/708, 148/806?

Answer: LCM of Numerators as per given numbers 41/723, 354/708, 148/806 is

LCM of Numerators i.e. for 41,354,148 is 1074036

GCF of denominators i.e. for 723,708,806 is 1.

Thus, LCM of Fractions is 1074036.Finally, LCM of Fractions for 41/723, 354/708, 148/806 is 1074036.