Least Common Multiple of 9822/250, 4759/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9822/250, 4759/985 quickly i.e. 46742898/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9822/250, 4759/985 is 46742898/5.

LCM(9822/250, 4759/985) = 46742898/5

LCM of 9822/250, 4759/985

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 9822/250,4759/985

Given numbers are 9822/250,4759/985

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 9822,4759

Least Common Multiple of Numerators i.e. LCM of 9822,4759 is 46742898.

GCF of Denominators means GCF of 250,985 as per the given fractions.

GCF of 250,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9822,4759

LCM of Fractions 9822/250,4759/985 is 46742898/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 46742898

Least Common Multiple of 9822,4759 with GCF Formula

Least Common Multiple of 9822,4759 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 9822,4759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9822,4759) = 1

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

GCF(9822,4759) x common factors =1 x 1 = 1

LCM(9822,4759) = ( 9822 × 4759 ) / 1

LCM(9822,4759) = 46742898 / 1

LCM(9822,4759) = 46742898


Lets's calculate GCF of 250,985

5 250, 985
50, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46742898/5

Therefore the LCM of Fractions 9822/250,4759/985 is 46742898/5

Greatest Common Factor of 250,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,985 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 250,985 . The biggest common factor number is the GCF number.
So the greatest common factor 250,985 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9822/250, 4759/985

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 9822/250, 4759/985?

Answer: LCM of Numerators as per given numbers 9822/250, 4759/985 is

LCM of Numerators i.e. for 9822,4759 is 46742898

GCF of denominators i.e. for 250,985 is 5.

Thus, LCM of Fractions is 46742898/5.Finally, LCM of Fractions for 9822/250, 4759/985 is 46742898/5.