Least Common Multiple of 11/946, 16/474, 952/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/946, 16/474, 952/259 quickly i.e. 20944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/946, 16/474, 952/259 is 20944.

LCM(11/946, 16/474, 952/259) = 20944

LCM of 11/946, 16/474, 952/259

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 11/946,16/474,952/259

Given numbers are 11/946,16/474,952/259

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 11,16,952

Least Common Multiple of Numerators i.e. LCM of 11,16,952 is 20944.

GCF of Denominators means GCF of 946,474,259 as per the given fractions.

GCF of 946,474,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,16,952

LCM of Fractions 11/946,16/474,952/259 is 20944

2 11, 16, 952
2 11, 8, 476
2 11, 4, 238
11, 2, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 2 x 119 = 20944

Least Common Multiple of 11,16,952 with GCF Formula

Least Common Multiple of 11,16,952 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 11,16,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,16,952) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(11,16,952) x common factors =1 x 8 = 8

LCM(11,16,952) = ( 11 × 16 × 952 ) / 8

LCM(11,16,952) = 167552 / 8

LCM(11,16,952) = 20944


Lets's calculate GCF of 946,474,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20944/1

Therefore the LCM of Fractions 11/946,16/474,952/259 is 20944

Greatest Common Factor of 946,474,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,474,259 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 946,474,259 . The biggest common factor number is the GCF number.
So the greatest common factor 946,474,259 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/946, 16/474, 952/259

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 11/946, 16/474, 952/259?

Answer: LCM of Numerators as per given numbers 11/946, 16/474, 952/259 is

LCM of Numerators i.e. for 11,16,952 is 20944

GCF of denominators i.e. for 946,474,259 is 1.

Thus, LCM of Fractions is 20944.Finally, LCM of Fractions for 11/946, 16/474, 952/259 is 20944.