Least Common Multiple of 4/19, 1/17, 5/40, 76/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/19, 1/17, 5/40, 76/278 quickly i.e. 380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/19, 1/17, 5/40, 76/278 is 380.

LCM(4/19, 1/17, 5/40, 76/278) = 380

LCM of 4/19, 1/17, 5/40, 76/278

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 4/19,1/17,5/40,76/278

Given numbers are 4/19,1/17,5/40,76/278

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 4,1,5,76

Least Common Multiple of Numerators i.e. LCM of 4,1,5,76 is 380.

GCF of Denominators means GCF of 19,17,40,278 as per the given fractions.

GCF of 19,17,40,278 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,1,5,76

LCM of Fractions 4/19,1/17,5/40,76/278 is 380

2 4, 1, 5, 76
2 2, 1, 5, 38
1, 1, 5, 19

∴ So the LCM of the given numbers is 2 x 2 x 1 x 1 x 5 x 19 = 380

Least Common Multiple of 4,1,5,76 with GCF Formula

Least Common Multiple of 4,1,5,76 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 4,1,5,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,1,5,76) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(4,1,5,76) x common factors =1 x 4 = 4

LCM(4,1,5,76) = ( 4 × 1 × 5 × 76 ) / 4

LCM(4,1,5,76) = 1520 / 4

LCM(4,1,5,76) = 380


Lets's calculate GCF of 19,17,40,278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380/1

Therefore the LCM of Fractions 4/19,1/17,5/40,76/278 is 380

Greatest Common Factor of 19,17,40,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,17,40,278 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 19,17,40,278 . The biggest common factor number is the GCF number.
So the greatest common factor 19,17,40,278 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 4/19, 1/17, 5/40, 76/278

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 4/19, 1/17, 5/40, 76/278?

Answer: LCM of Numerators as per given numbers 4/19, 1/17, 5/40, 76/278 is

LCM of Numerators i.e. for 4,1,5,76 is 380

GCF of denominators i.e. for 19,17,40,278 is 1.

Thus, LCM of Fractions is 380.Finally, LCM of Fractions for 4/19, 1/17, 5/40, 76/278 is 380.