Least Common Multiple of 689/921, 7200/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/921, 7200/522 quickly i.e. 1653600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/921, 7200/522 is 1653600.

LCM(689/921, 7200/522) = 1653600

LCM of 689/921, 7200/522

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 689/921,7200/522

Given numbers are 689/921,7200/522

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 689,7200

Least Common Multiple of Numerators i.e. LCM of 689,7200 is 4960800.

GCF of Denominators means GCF of 921,522 as per the given fractions.

GCF of 921,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,7200

LCM of Fractions 689/921,7200/522 is 1653600

Given numbers has no common factors except 1. So, there LCM is their product i.e 4960800

Least Common Multiple of 689,7200 with GCF Formula

Least Common Multiple of 689,7200 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 689,7200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,7200) = 1

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

GCF(689,7200) x common factors =1 x 1 = 1

LCM(689,7200) = ( 689 × 7200 ) / 1

LCM(689,7200) = 4960800 / 1

LCM(689,7200) = 4960800


Lets's calculate GCF of 921,522

3 921, 522
307, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4960800/3

Therefore the LCM of Fractions 689/921,7200/522 is 1653600

Greatest Common Factor of 921,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,522 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 921,522 . The biggest common factor number is the GCF number.
So the greatest common factor 921,522 is 3.


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 689/921, 7200/522

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 689/921, 7200/522?

Answer: LCM of Numerators as per given numbers 689/921, 7200/522 is

LCM of Numerators i.e. for 689,7200 is 4960800

GCF of denominators i.e. for 921,522 is 3.

Thus, LCM of Fractions is 1653600.Finally, LCM of Fractions for 689/921, 7200/522 is 1653600.