Least Common Multiple of 40/58, 76/34, 57/79, 85/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/58, 76/34, 57/79, 85/830 quickly i.e. 38760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/58, 76/34, 57/79, 85/830 is 38760.

LCM(40/58, 76/34, 57/79, 85/830) = 38760

LCM of 40/58, 76/34, 57/79, 85/830

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 40/58,76/34,57/79,85/830

Given numbers are 40/58,76/34,57/79,85/830

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 40,76,57,85

Least Common Multiple of Numerators i.e. LCM of 40,76,57,85 is 38760.

GCF of Denominators means GCF of 58,34,79,830 as per the given fractions.

GCF of 58,34,79,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,76,57,85

LCM of Fractions 40/58,76/34,57/79,85/830 is 38760

2 40, 76, 57, 85
2 20, 38, 57, 85
5 10, 19, 57, 85
19 2, 19, 57, 17
2, 1, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 2 x 1 x 3 x 17 = 38760

Least Common Multiple of 40,76,57,85 with GCF Formula

Least Common Multiple of 40,76,57,85 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 40,76,57,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,76,57,85) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(40,76,57,85) x common factors =1 x 380 = 380

LCM(40,76,57,85) = ( 40 × 76 × 57 × 85 ) / 380

LCM(40,76,57,85) = 14728800 / 380

LCM(40,76,57,85) = 38760


Lets's calculate GCF of 58,34,79,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38760/1

Therefore the LCM of Fractions 40/58,76/34,57/79,85/830 is 38760

Greatest Common Factor of 58,34,79,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,34,79,830 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 58,34,79,830 . The biggest common factor number is the GCF number.
So the greatest common factor 58,34,79,830 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 40/58, 76/34, 57/79, 85/830

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 40/58, 76/34, 57/79, 85/830?

Answer: LCM of Numerators as per given numbers 40/58, 76/34, 57/79, 85/830 is

LCM of Numerators i.e. for 40,76,57,85 is 38760

GCF of denominators i.e. for 58,34,79,830 is 1.

Thus, LCM of Fractions is 38760.Finally, LCM of Fractions for 40/58, 76/34, 57/79, 85/830 is 38760.