Least Common Multiple of 89/210, 290/922, 821/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/210, 290/922, 821/509 quickly i.e. 21190010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/210, 290/922, 821/509 is 21190010.

LCM(89/210, 290/922, 821/509) = 21190010

LCM of 89/210, 290/922, 821/509

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 89/210,290/922,821/509

Given numbers are 89/210,290/922,821/509

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 89,290,821

Least Common Multiple of Numerators i.e. LCM of 89,290,821 is 21190010.

GCF of Denominators means GCF of 210,922,509 as per the given fractions.

GCF of 210,922,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,290,821

LCM of Fractions 89/210,290/922,821/509 is 21190010

Given numbers has no common factors except 1. So, there LCM is their product i.e 21190010

Least Common Multiple of 89,290,821 with GCF Formula

Least Common Multiple of 89,290,821 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 89,290,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,290,821) = 1

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

GCF(89,290,821) x common factors =1 x 1 = 1

LCM(89,290,821) = ( 89 × 290 × 821 ) / 1

LCM(89,290,821) = 21190010 / 1

LCM(89,290,821) = 21190010


Lets's calculate GCF of 210,922,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21190010/1

Therefore the LCM of Fractions 89/210,290/922,821/509 is 21190010

Greatest Common Factor of 210,922,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,922,509 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 210,922,509 . The biggest common factor number is the GCF number.
So the greatest common factor 210,922,509 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 89/210, 290/922, 821/509

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 89/210, 290/922, 821/509?

Answer: LCM of Numerators as per given numbers 89/210, 290/922, 821/509 is

LCM of Numerators i.e. for 89,290,821 is 21190010

GCF of denominators i.e. for 210,922,509 is 1.

Thus, LCM of Fractions is 21190010.Finally, LCM of Fractions for 89/210, 290/922, 821/509 is 21190010.