Least Common Multiple of 34/760, 207/902, 285/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/760, 207/902, 285/384 quickly i.e. 334305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/760, 207/902, 285/384 is 334305.

LCM(34/760, 207/902, 285/384) = 334305

LCM of 34/760, 207/902, 285/384

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 34/760,207/902,285/384

Given numbers are 34/760,207/902,285/384

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 34,207,285

Least Common Multiple of Numerators i.e. LCM of 34,207,285 is 668610.

GCF of Denominators means GCF of 760,902,384 as per the given fractions.

GCF of 760,902,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,207,285

LCM of Fractions 34/760,207/902,285/384 is 334305

3 34, 207, 285
34, 69, 95

∴ So the LCM of the given numbers is 3 x 34 x 69 x 95 = 668610

Least Common Multiple of 34,207,285 with GCF Formula

Least Common Multiple of 34,207,285 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 34,207,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,207,285) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(34,207,285) x common factors =1 x 3 = 3

LCM(34,207,285) = ( 34 × 207 × 285 ) / 3

LCM(34,207,285) = 2005830 / 3

LCM(34,207,285) = 668610


Lets's calculate GCF of 760,902,384

2 760, 902, 384
380, 451, 192

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668610/2

Therefore the LCM of Fractions 34/760,207/902,285/384 is 334305

Greatest Common Factor of 760,902,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,902,384 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 760,902,384 . The biggest common factor number is the GCF number.
So the greatest common factor 760,902,384 is 2.


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 34/760, 207/902, 285/384

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 34/760, 207/902, 285/384?

Answer: LCM of Numerators as per given numbers 34/760, 207/902, 285/384 is

LCM of Numerators i.e. for 34,207,285 is 668610

GCF of denominators i.e. for 760,902,384 is 2.

Thus, LCM of Fractions is 334305.Finally, LCM of Fractions for 34/760, 207/902, 285/384 is 334305.