Least Common Multiple of 935/263, 435/298, 775/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 935/263, 435/298, 775/874 quickly i.e. 12608475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/263, 435/298, 775/874 is 12608475.

LCM(935/263, 435/298, 775/874) = 12608475

LCM of 935/263, 435/298, 775/874

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 935/263,435/298,775/874

Given numbers are 935/263,435/298,775/874

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 935,435,775

Least Common Multiple of Numerators i.e. LCM of 935,435,775 is 12608475.

GCF of Denominators means GCF of 263,298,874 as per the given fractions.

GCF of 263,298,874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,435,775

LCM of Fractions 935/263,435/298,775/874 is 12608475

5 935, 435, 775
187, 87, 155

∴ So the LCM of the given numbers is 5 x 187 x 87 x 155 = 12608475

Least Common Multiple of 935,435,775 with GCF Formula

Least Common Multiple of 935,435,775 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 935,435,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,435,775) = 5

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

GCF(935,435,775) x common factors =5 x 5 = 25

LCM(935,435,775) = ( 935 × 435 × 775 ) / 25

LCM(935,435,775) = 315211875 / 25

LCM(935,435,775) = 12608475


Lets's calculate GCF of 263,298,874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12608475/1

Therefore the LCM of Fractions 935/263,435/298,775/874 is 12608475

Greatest Common Factor of 263,298,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,298,874 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 263,298,874 . The biggest common factor number is the GCF number.
So the greatest common factor 263,298,874 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 935/263, 435/298, 775/874

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 935/263, 435/298, 775/874?

Answer: LCM of Numerators as per given numbers 935/263, 435/298, 775/874 is

LCM of Numerators i.e. for 935,435,775 is 12608475

GCF of denominators i.e. for 263,298,874 is 1.

Thus, LCM of Fractions is 12608475.Finally, LCM of Fractions for 935/263, 435/298, 775/874 is 12608475.