Least Common Multiple of 11/755, 78/730, 904/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/755, 78/730, 904/302 quickly i.e. 387816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/755, 78/730, 904/302 is 387816.

LCM(11/755, 78/730, 904/302) = 387816

LCM of 11/755, 78/730, 904/302

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 11/755,78/730,904/302

Given numbers are 11/755,78/730,904/302

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 11,78,904

Least Common Multiple of Numerators i.e. LCM of 11,78,904 is 387816.

GCF of Denominators means GCF of 755,730,302 as per the given fractions.

GCF of 755,730,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,78,904

LCM of Fractions 11/755,78/730,904/302 is 387816

2 11, 78, 904
11, 39, 452

∴ So the LCM of the given numbers is 2 x 11 x 39 x 452 = 387816

Least Common Multiple of 11,78,904 with GCF Formula

Least Common Multiple of 11,78,904 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 11,78,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,78,904) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(11,78,904) x common factors =1 x 2 = 2

LCM(11,78,904) = ( 11 × 78 × 904 ) / 2

LCM(11,78,904) = 775632 / 2

LCM(11,78,904) = 387816


Lets's calculate GCF of 755,730,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387816/1

Therefore the LCM of Fractions 11/755,78/730,904/302 is 387816

Greatest Common Factor of 755,730,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,730,302 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 755,730,302 . The biggest common factor number is the GCF number.
So the greatest common factor 755,730,302 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/755, 78/730, 904/302

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 11/755, 78/730, 904/302?

Answer: LCM of Numerators as per given numbers 11/755, 78/730, 904/302 is

LCM of Numerators i.e. for 11,78,904 is 387816

GCF of denominators i.e. for 755,730,302 is 1.

Thus, LCM of Fractions is 387816.Finally, LCM of Fractions for 11/755, 78/730, 904/302 is 387816.