Least Common Multiple of 22/63, 67/12, 61/38, 51/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/63, 67/12, 61/38, 51/283 quickly i.e. 4585614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/63, 67/12, 61/38, 51/283 is 4585614.

LCM(22/63, 67/12, 61/38, 51/283) = 4585614

LCM of 22/63, 67/12, 61/38, 51/283

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 22/63,67/12,61/38,51/283

Given numbers are 22/63,67/12,61/38,51/283

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 22,67,61,51

Least Common Multiple of Numerators i.e. LCM of 22,67,61,51 is 4585614.

GCF of Denominators means GCF of 63,12,38,283 as per the given fractions.

GCF of 63,12,38,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,67,61,51

LCM of Fractions 22/63,67/12,61/38,51/283 is 4585614

Given numbers has no common factors except 1. So, there LCM is their product i.e 4585614

Least Common Multiple of 22,67,61,51 with GCF Formula

Least Common Multiple of 22,67,61,51 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 22,67,61,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,67,61,51) = 1

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

GCF(22,67,61,51) x common factors =1 x 1 = 1

LCM(22,67,61,51) = ( 22 × 67 × 61 × 51 ) / 1

LCM(22,67,61,51) = 4585614 / 1

LCM(22,67,61,51) = 4585614


Lets's calculate GCF of 63,12,38,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4585614/1

Therefore the LCM of Fractions 22/63,67/12,61/38,51/283 is 4585614

Greatest Common Factor of 63,12,38,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,12,38,283 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 63,12,38,283 . The biggest common factor number is the GCF number.
So the greatest common factor 63,12,38,283 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/63, 67/12, 61/38, 51/283

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 22/63, 67/12, 61/38, 51/283?

Answer: LCM of Numerators as per given numbers 22/63, 67/12, 61/38, 51/283 is

LCM of Numerators i.e. for 22,67,61,51 is 4585614

GCF of denominators i.e. for 63,12,38,283 is 1.

Thus, LCM of Fractions is 4585614.Finally, LCM of Fractions for 22/63, 67/12, 61/38, 51/283 is 4585614.