Least Common Multiple of 78/40, 409/84, 261/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/40, 409/84, 261/354 quickly i.e. 1387737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/40, 409/84, 261/354 is 1387737.

LCM(78/40, 409/84, 261/354) = 1387737

LCM of 78/40, 409/84, 261/354

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 78/40,409/84,261/354

Given numbers are 78/40,409/84,261/354

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 78,409,261

Least Common Multiple of Numerators i.e. LCM of 78,409,261 is 2775474.

GCF of Denominators means GCF of 40,84,354 as per the given fractions.

GCF of 40,84,354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,409,261

LCM of Fractions 78/40,409/84,261/354 is 1387737

3 78, 409, 261
26, 409, 87

∴ So the LCM of the given numbers is 3 x 26 x 409 x 87 = 2775474

Least Common Multiple of 78,409,261 with GCF Formula

Least Common Multiple of 78,409,261 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 78,409,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,409,261) = 1

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

GCF(78,409,261) x common factors =1 x 3 = 3

LCM(78,409,261) = ( 78 × 409 × 261 ) / 3

LCM(78,409,261) = 8326422 / 3

LCM(78,409,261) = 2775474


Lets's calculate GCF of 40,84,354

2 40, 84, 354
20, 42, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2775474/2

Therefore the LCM of Fractions 78/40,409/84,261/354 is 1387737

Greatest Common Factor of 40,84,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,84,354 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 354

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

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

Greatest Common Factor

We found the factors 40,84,354 . The biggest common factor number is the GCF number.
So the greatest common factor 40,84,354 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 78/40, 409/84, 261/354

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 78/40, 409/84, 261/354?

Answer: LCM of Numerators as per given numbers 78/40, 409/84, 261/354 is

LCM of Numerators i.e. for 78,409,261 is 2775474

GCF of denominators i.e. for 40,84,354 is 2.

Thus, LCM of Fractions is 1387737.Finally, LCM of Fractions for 78/40, 409/84, 261/354 is 1387737.