Least Common Multiple of 32/40, 74/83, 70/93, 29/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/40, 74/83, 70/93, 29/553 quickly i.e. 1201760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/40, 74/83, 70/93, 29/553 is 1201760.

LCM(32/40, 74/83, 70/93, 29/553) = 1201760

LCM of 32/40, 74/83, 70/93, 29/553

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 32/40,74/83,70/93,29/553

Given numbers are 32/40,74/83,70/93,29/553

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 32,74,70,29

Least Common Multiple of Numerators i.e. LCM of 32,74,70,29 is 1201760.

GCF of Denominators means GCF of 40,83,93,553 as per the given fractions.

GCF of 40,83,93,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,74,70,29

LCM of Fractions 32/40,74/83,70/93,29/553 is 1201760

2 32, 74, 70, 29
16, 37, 35, 29

∴ So the LCM of the given numbers is 2 x 16 x 37 x 35 x 29 = 1201760

Least Common Multiple of 32,74,70,29 with GCF Formula

Least Common Multiple of 32,74,70,29 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 32,74,70,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,74,70,29) = 1

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

GCF(32,74,70,29) x common factors =1 x 4 = 4

LCM(32,74,70,29) = ( 32 × 74 × 70 × 29 ) / 4

LCM(32,74,70,29) = 4807040 / 4

LCM(32,74,70,29) = 1201760


Lets's calculate GCF of 40,83,93,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201760/1

Therefore the LCM of Fractions 32/40,74/83,70/93,29/553 is 1201760

Greatest Common Factor of 40,83,93,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,83,93,553 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 40,83,93,553 . The biggest common factor number is the GCF number.
So the greatest common factor 40,83,93,553 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 32/40, 74/83, 70/93, 29/553

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 32/40, 74/83, 70/93, 29/553?

Answer: LCM of Numerators as per given numbers 32/40, 74/83, 70/93, 29/553 is

LCM of Numerators i.e. for 32,74,70,29 is 1201760

GCF of denominators i.e. for 40,83,93,553 is 1.

Thus, LCM of Fractions is 1201760.Finally, LCM of Fractions for 32/40, 74/83, 70/93, 29/553 is 1201760.