Least Common Multiple of 752/95, 685/87, 573/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 752/95, 685/87, 573/960 quickly i.e. 295163760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/95, 685/87, 573/960 is 295163760.

LCM(752/95, 685/87, 573/960) = 295163760

LCM of 752/95, 685/87, 573/960

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 752/95,685/87,573/960

Given numbers are 752/95,685/87,573/960

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 752,685,573

Least Common Multiple of Numerators i.e. LCM of 752,685,573 is 295163760.

GCF of Denominators means GCF of 95,87,960 as per the given fractions.

GCF of 95,87,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,685,573

LCM of Fractions 752/95,685/87,573/960 is 295163760

Given numbers has no common factors except 1. So, there LCM is their product i.e 295163760

Least Common Multiple of 752,685,573 with GCF Formula

Least Common Multiple of 752,685,573 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 752,685,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,685,573) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(752,685,573) x common factors =1 x 1 = 1

LCM(752,685,573) = ( 752 × 685 × 573 ) / 1

LCM(752,685,573) = 295163760 / 1

LCM(752,685,573) = 295163760


Lets's calculate GCF of 95,87,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295163760/1

Therefore the LCM of Fractions 752/95,685/87,573/960 is 295163760

Greatest Common Factor of 95,87,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,87,960 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 95,87,960 . The biggest common factor number is the GCF number.
So the greatest common factor 95,87,960 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 752/95, 685/87, 573/960

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 752/95, 685/87, 573/960?

Answer: LCM of Numerators as per given numbers 752/95, 685/87, 573/960 is

LCM of Numerators i.e. for 752,685,573 is 295163760

GCF of denominators i.e. for 95,87,960 is 1.

Thus, LCM of Fractions is 295163760.Finally, LCM of Fractions for 752/95, 685/87, 573/960 is 295163760.