Least Common Multiple of 263/788, 646/119, 580/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 263/788, 646/119, 580/805 quickly i.e. 49270420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/788, 646/119, 580/805 is 49270420.

LCM(263/788, 646/119, 580/805) = 49270420

LCM of 263/788, 646/119, 580/805

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 263/788,646/119,580/805

Given numbers are 263/788,646/119,580/805

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 263,646,580

Least Common Multiple of Numerators i.e. LCM of 263,646,580 is 49270420.

GCF of Denominators means GCF of 788,119,805 as per the given fractions.

GCF of 788,119,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,646,580

LCM of Fractions 263/788,646/119,580/805 is 49270420

2 263, 646, 580
263, 323, 290

∴ So the LCM of the given numbers is 2 x 263 x 323 x 290 = 49270420

Least Common Multiple of 263,646,580 with GCF Formula

Least Common Multiple of 263,646,580 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 263,646,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,646,580) = 1

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

GCF(263,646,580) x common factors =1 x 2 = 2

LCM(263,646,580) = ( 263 × 646 × 580 ) / 2

LCM(263,646,580) = 98540840 / 2

LCM(263,646,580) = 49270420


Lets's calculate GCF of 788,119,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49270420/1

Therefore the LCM of Fractions 263/788,646/119,580/805 is 49270420

Greatest Common Factor of 788,119,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,119,805 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 788,119,805 . The biggest common factor number is the GCF number.
So the greatest common factor 788,119,805 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 263/788, 646/119, 580/805

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 263/788, 646/119, 580/805?

Answer: LCM of Numerators as per given numbers 263/788, 646/119, 580/805 is

LCM of Numerators i.e. for 263,646,580 is 49270420

GCF of denominators i.e. for 788,119,805 is 1.

Thus, LCM of Fractions is 49270420.Finally, LCM of Fractions for 263/788, 646/119, 580/805 is 49270420.