Least Common Multiple of 74/40, 34/83, 104/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/40, 34/83, 104/840 quickly i.e. 65416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/40, 34/83, 104/840 is 65416.

LCM(74/40, 34/83, 104/840) = 65416

LCM of 74/40, 34/83, 104/840

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 74/40,34/83,104/840

Given numbers are 74/40,34/83,104/840

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 74,34,104

Least Common Multiple of Numerators i.e. LCM of 74,34,104 is 65416.

GCF of Denominators means GCF of 40,83,840 as per the given fractions.

GCF of 40,83,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,34,104

LCM of Fractions 74/40,34/83,104/840 is 65416

2 74, 34, 104
37, 17, 52

∴ So the LCM of the given numbers is 2 x 37 x 17 x 52 = 65416

Least Common Multiple of 74,34,104 with GCF Formula

Least Common Multiple of 74,34,104 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 74,34,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,34,104) = 2

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

GCF(74,34,104) x common factors =2 x 2 = 4

LCM(74,34,104) = ( 74 × 34 × 104 ) / 4

LCM(74,34,104) = 261664 / 4

LCM(74,34,104) = 65416


Lets's calculate GCF of 40,83,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65416/1

Therefore the LCM of Fractions 74/40,34/83,104/840 is 65416

Greatest Common Factor of 40,83,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,83,840 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 40,83,840 . The biggest common factor number is the GCF number.
So the greatest common factor 40,83,840 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 74/40, 34/83, 104/840

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 74/40, 34/83, 104/840?

Answer: LCM of Numerators as per given numbers 74/40, 34/83, 104/840 is

LCM of Numerators i.e. for 74,34,104 is 65416

GCF of denominators i.e. for 40,83,840 is 1.

Thus, LCM of Fractions is 65416.Finally, LCM of Fractions for 74/40, 34/83, 104/840 is 65416.