Least Common Multiple of 989/53, 715/71, 316/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 989/53, 715/71, 316/499 quickly i.e. 223454660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/53, 715/71, 316/499 is 223454660.

LCM(989/53, 715/71, 316/499) = 223454660

LCM of 989/53, 715/71, 316/499

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 989/53,715/71,316/499

Given numbers are 989/53,715/71,316/499

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 989,715,316

Least Common Multiple of Numerators i.e. LCM of 989,715,316 is 223454660.

GCF of Denominators means GCF of 53,71,499 as per the given fractions.

GCF of 53,71,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,715,316

LCM of Fractions 989/53,715/71,316/499 is 223454660

Given numbers has no common factors except 1. So, there LCM is their product i.e 223454660

Least Common Multiple of 989,715,316 with GCF Formula

Least Common Multiple of 989,715,316 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 989,715,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,715,316) = 1

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

GCF(989,715,316) x common factors =1 x 1 = 1

LCM(989,715,316) = ( 989 × 715 × 316 ) / 1

LCM(989,715,316) = 223454660 / 1

LCM(989,715,316) = 223454660


Lets's calculate GCF of 53,71,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223454660/1

Therefore the LCM of Fractions 989/53,715/71,316/499 is 223454660

Greatest Common Factor of 53,71,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,71,499 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 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 53,71,499 . The biggest common factor number is the GCF number.
So the greatest common factor 53,71,499 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 989/53, 715/71, 316/499

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 989/53, 715/71, 316/499?

Answer: LCM of Numerators as per given numbers 989/53, 715/71, 316/499 is

LCM of Numerators i.e. for 989,715,316 is 223454660

GCF of denominators i.e. for 53,71,499 is 1.

Thus, LCM of Fractions is 223454660.Finally, LCM of Fractions for 989/53, 715/71, 316/499 is 223454660.