Least Common Multiple of 43/402, 48/354, 111/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/402, 48/354, 111/782 quickly i.e. 38184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/402, 48/354, 111/782 is 38184.

LCM(43/402, 48/354, 111/782) = 38184

LCM of 43/402, 48/354, 111/782

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 43/402,48/354,111/782

Given numbers are 43/402,48/354,111/782

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 43,48,111

Least Common Multiple of Numerators i.e. LCM of 43,48,111 is 76368.

GCF of Denominators means GCF of 402,354,782 as per the given fractions.

GCF of 402,354,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,48,111

LCM of Fractions 43/402,48/354,111/782 is 38184

3 43, 48, 111
43, 16, 37

∴ So the LCM of the given numbers is 3 x 43 x 16 x 37 = 76368

Least Common Multiple of 43,48,111 with GCF Formula

Least Common Multiple of 43,48,111 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 43,48,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,48,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(43,48,111) x common factors =1 x 3 = 3

LCM(43,48,111) = ( 43 × 48 × 111 ) / 3

LCM(43,48,111) = 229104 / 3

LCM(43,48,111) = 76368


Lets's calculate GCF of 402,354,782

2 402, 354, 782
201, 177, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76368/2

Therefore the LCM of Fractions 43/402,48/354,111/782 is 38184

Greatest Common Factor of 402,354,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,354,782 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

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 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 402,354,782 . The biggest common factor number is the GCF number.
So the greatest common factor 402,354,782 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 43/402, 48/354, 111/782

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 43/402, 48/354, 111/782?

Answer: LCM of Numerators as per given numbers 43/402, 48/354, 111/782 is

LCM of Numerators i.e. for 43,48,111 is 76368

GCF of denominators i.e. for 402,354,782 is 2.

Thus, LCM of Fractions is 38184.Finally, LCM of Fractions for 43/402, 48/354, 111/782 is 38184.