Least Common Multiple of 70/73, 11/68, 75/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/73, 11/68, 75/445 quickly i.e. 11550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/73, 11/68, 75/445 is 11550.

LCM(70/73, 11/68, 75/445) = 11550

LCM of 70/73, 11/68, 75/445

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 70/73,11/68,75/445

Given numbers are 70/73,11/68,75/445

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 70,11,75

Least Common Multiple of Numerators i.e. LCM of 70,11,75 is 11550.

GCF of Denominators means GCF of 73,68,445 as per the given fractions.

GCF of 73,68,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,11,75

LCM of Fractions 70/73,11/68,75/445 is 11550

5 70, 11, 75
14, 11, 15

∴ So the LCM of the given numbers is 5 x 14 x 11 x 15 = 11550

Least Common Multiple of 70,11,75 with GCF Formula

Least Common Multiple of 70,11,75 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 70,11,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,11,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(70,11,75) x common factors =1 x 5 = 5

LCM(70,11,75) = ( 70 × 11 × 75 ) / 5

LCM(70,11,75) = 57750 / 5

LCM(70,11,75) = 11550


Lets's calculate GCF of 73,68,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11550/1

Therefore the LCM of Fractions 70/73,11/68,75/445 is 11550

Greatest Common Factor of 73,68,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,68,445 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 73,68,445 . The biggest common factor number is the GCF number.
So the greatest common factor 73,68,445 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/73, 11/68, 75/445

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 70/73, 11/68, 75/445?

Answer: LCM of Numerators as per given numbers 70/73, 11/68, 75/445 is

LCM of Numerators i.e. for 70,11,75 is 11550

GCF of denominators i.e. for 73,68,445 is 1.

Thus, LCM of Fractions is 11550.Finally, LCM of Fractions for 70/73, 11/68, 75/445 is 11550.