Least Common Multiple of 505/97, 202/37, 989/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/97, 202/37, 989/71 quickly i.e. 998890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/97, 202/37, 989/71 is 998890.

LCM(505/97, 202/37, 989/71) = 998890

LCM of 505/97, 202/37, 989/71

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 505/97,202/37,989/71

Given numbers are 505/97,202/37,989/71

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 505,202,989

Least Common Multiple of Numerators i.e. LCM of 505,202,989 is 998890.

GCF of Denominators means GCF of 97,37,71 as per the given fractions.

GCF of 97,37,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,202,989

LCM of Fractions 505/97,202/37,989/71 is 998890

101 505, 202, 989
5, 2, 989

∴ So the LCM of the given numbers is 101 x 5 x 2 x 989 = 998890

Least Common Multiple of 505,202,989 with GCF Formula

Least Common Multiple of 505,202,989 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 505,202,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,202,989) = 1

common factors(in case of two or more numbers have common factors) = 101

GCF(505,202,989) x common factors =1 x 101 = 101

LCM(505,202,989) = ( 505 × 202 × 989 ) / 101

LCM(505,202,989) = 100887890 / 101

LCM(505,202,989) = 998890


Lets's calculate GCF of 97,37,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998890/1

Therefore the LCM of Fractions 505/97,202/37,989/71 is 998890

Greatest Common Factor of 97,37,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,37,71 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 71

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

1,71

Greatest Common Factor

We found the factors 97,37,71 . The biggest common factor number is the GCF number.
So the greatest common factor 97,37,71 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 505/97, 202/37, 989/71

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 505/97, 202/37, 989/71?

Answer: LCM of Numerators as per given numbers 505/97, 202/37, 989/71 is

LCM of Numerators i.e. for 505,202,989 is 998890

GCF of denominators i.e. for 97,37,71 is 1.

Thus, LCM of Fractions is 998890.Finally, LCM of Fractions for 505/97, 202/37, 989/71 is 998890.