Least Common Multiple of 11/457, 49/707, 474/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/457, 49/707, 474/895 quickly i.e. 255486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/457, 49/707, 474/895 is 255486.

LCM(11/457, 49/707, 474/895) = 255486

LCM of 11/457, 49/707, 474/895

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 11/457,49/707,474/895

Given numbers are 11/457,49/707,474/895

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 11,49,474

Least Common Multiple of Numerators i.e. LCM of 11,49,474 is 255486.

GCF of Denominators means GCF of 457,707,895 as per the given fractions.

GCF of 457,707,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,49,474

LCM of Fractions 11/457,49/707,474/895 is 255486

Given numbers has no common factors except 1. So, there LCM is their product i.e 255486

Least Common Multiple of 11,49,474 with GCF Formula

Least Common Multiple of 11,49,474 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 11,49,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,49,474) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,49,474) x common factors =1 x 1 = 1

LCM(11,49,474) = ( 11 × 49 × 474 ) / 1

LCM(11,49,474) = 255486 / 1

LCM(11,49,474) = 255486


Lets's calculate GCF of 457,707,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255486/1

Therefore the LCM of Fractions 11/457,49/707,474/895 is 255486

Greatest Common Factor of 457,707,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,707,895 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 457,707,895 . The biggest common factor number is the GCF number.
So the greatest common factor 457,707,895 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/457, 49/707, 474/895

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 11/457, 49/707, 474/895?

Answer: LCM of Numerators as per given numbers 11/457, 49/707, 474/895 is

LCM of Numerators i.e. for 11,49,474 is 255486

GCF of denominators i.e. for 457,707,895 is 1.

Thus, LCM of Fractions is 255486.Finally, LCM of Fractions for 11/457, 49/707, 474/895 is 255486.