Least Common Multiple of 61/53, 899/10, 618/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/53, 899/10, 618/284 quickly i.e. 33890502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/53, 899/10, 618/284 is 33890502.

LCM(61/53, 899/10, 618/284) = 33890502

LCM of 61/53, 899/10, 618/284

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 61/53,899/10,618/284

Given numbers are 61/53,899/10,618/284

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 61,899,618

Least Common Multiple of Numerators i.e. LCM of 61,899,618 is 33890502.

GCF of Denominators means GCF of 53,10,284 as per the given fractions.

GCF of 53,10,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,899,618

LCM of Fractions 61/53,899/10,618/284 is 33890502

Given numbers has no common factors except 1. So, there LCM is their product i.e 33890502

Least Common Multiple of 61,899,618 with GCF Formula

Least Common Multiple of 61,899,618 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 61,899,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,899,618) = 1

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

GCF(61,899,618) x common factors =1 x 1 = 1

LCM(61,899,618) = ( 61 × 899 × 618 ) / 1

LCM(61,899,618) = 33890502 / 1

LCM(61,899,618) = 33890502


Lets's calculate GCF of 53,10,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33890502/1

Therefore the LCM of Fractions 61/53,899/10,618/284 is 33890502

Greatest Common Factor of 53,10,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,10,284 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 53,10,284 . The biggest common factor number is the GCF number.
So the greatest common factor 53,10,284 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/53, 899/10, 618/284

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 61/53, 899/10, 618/284?

Answer: LCM of Numerators as per given numbers 61/53, 899/10, 618/284 is

LCM of Numerators i.e. for 61,899,618 is 33890502

GCF of denominators i.e. for 53,10,284 is 1.

Thus, LCM of Fractions is 33890502.Finally, LCM of Fractions for 61/53, 899/10, 618/284 is 33890502.