Least Common Multiple of 61/827, 482/551, 361/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/827, 482/551, 361/873 quickly i.e. 10614122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/827, 482/551, 361/873 is 10614122.

LCM(61/827, 482/551, 361/873) = 10614122

LCM of 61/827, 482/551, 361/873

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 61/827,482/551,361/873

Given numbers are 61/827,482/551,361/873

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 61,482,361

Least Common Multiple of Numerators i.e. LCM of 61,482,361 is 10614122.

GCF of Denominators means GCF of 827,551,873 as per the given fractions.

GCF of 827,551,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,482,361

LCM of Fractions 61/827,482/551,361/873 is 10614122

Given numbers has no common factors except 1. So, there LCM is their product i.e 10614122

Least Common Multiple of 61,482,361 with GCF Formula

Least Common Multiple of 61,482,361 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 61,482,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,482,361) = 1

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

GCF(61,482,361) x common factors =1 x 1 = 1

LCM(61,482,361) = ( 61 × 482 × 361 ) / 1

LCM(61,482,361) = 10614122 / 1

LCM(61,482,361) = 10614122


Lets's calculate GCF of 827,551,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10614122/1

Therefore the LCM of Fractions 61/827,482/551,361/873 is 10614122

Greatest Common Factor of 827,551,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,551,873 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 827,551,873 . The biggest common factor number is the GCF number.
So the greatest common factor 827,551,873 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/827, 482/551, 361/873

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 61/827, 482/551, 361/873?

Answer: LCM of Numerators as per given numbers 61/827, 482/551, 361/873 is

LCM of Numerators i.e. for 61,482,361 is 10614122

GCF of denominators i.e. for 827,551,873 is 1.

Thus, LCM of Fractions is 10614122.Finally, LCM of Fractions for 61/827, 482/551, 361/873 is 10614122.