Least Common Multiple of 85/93, 95/69, 33/31, 23/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/93, 95/69, 33/31, 23/764 quickly i.e. 1225785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/93, 95/69, 33/31, 23/764 is 1225785.

LCM(85/93, 95/69, 33/31, 23/764) = 1225785

LCM of 85/93, 95/69, 33/31, 23/764

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 85/93,95/69,33/31,23/764

Given numbers are 85/93,95/69,33/31,23/764

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 85,95,33,23

Least Common Multiple of Numerators i.e. LCM of 85,95,33,23 is 1225785.

GCF of Denominators means GCF of 93,69,31,764 as per the given fractions.

GCF of 93,69,31,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,95,33,23

LCM of Fractions 85/93,95/69,33/31,23/764 is 1225785

5 85, 95, 33, 23
17, 19, 33, 23

∴ So the LCM of the given numbers is 5 x 17 x 19 x 33 x 23 = 1225785

Least Common Multiple of 85,95,33,23 with GCF Formula

Least Common Multiple of 85,95,33,23 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 85,95,33,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,95,33,23) = 1

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

GCF(85,95,33,23) x common factors =1 x 5 = 5

LCM(85,95,33,23) = ( 85 × 95 × 33 × 23 ) / 5

LCM(85,95,33,23) = 6128925 / 5

LCM(85,95,33,23) = 1225785


Lets's calculate GCF of 93,69,31,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1225785/1

Therefore the LCM of Fractions 85/93,95/69,33/31,23/764 is 1225785

Greatest Common Factor of 93,69,31,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,69,31,764 By Matching Biggest Common Factor Method

Factors of 93

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

1,3,31,93

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 93,69,31,764 . The biggest common factor number is the GCF number.
So the greatest common factor 93,69,31,764 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 85/93, 95/69, 33/31, 23/764

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 85/93, 95/69, 33/31, 23/764?

Answer: LCM of Numerators as per given numbers 85/93, 95/69, 33/31, 23/764 is

LCM of Numerators i.e. for 85,95,33,23 is 1225785

GCF of denominators i.e. for 93,69,31,764 is 1.

Thus, LCM of Fractions is 1225785.Finally, LCM of Fractions for 85/93, 95/69, 33/31, 23/764 is 1225785.