Least Common Multiple of 530/98, 523/7222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/98, 523/7222 quickly i.e. 138595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/98, 523/7222 is 138595.

LCM(530/98, 523/7222) = 138595

LCM of 530/98, 523/7222

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 530/98,523/7222

Given numbers are 530/98,523/7222

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 530,523

Least Common Multiple of Numerators i.e. LCM of 530,523 is 277190.

GCF of Denominators means GCF of 98,7222 as per the given fractions.

GCF of 98,7222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,523

LCM of Fractions 530/98,523/7222 is 138595

Given numbers has no common factors except 1. So, there LCM is their product i.e 277190

Least Common Multiple of 530,523 with GCF Formula

Least Common Multiple of 530,523 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 530,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,523) = 1

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

GCF(530,523) x common factors =1 x 1 = 1

LCM(530,523) = ( 530 × 523 ) / 1

LCM(530,523) = 277190 / 1

LCM(530,523) = 277190


Lets's calculate GCF of 98,7222

2 98, 7222
49, 3611

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277190/2

Therefore the LCM of Fractions 530/98,523/7222 is 138595

Greatest Common Factor of 98,7222 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,7222 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Greatest Common Factor

We found the factors 98,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 98,7222 is 2.


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 530/98, 523/7222

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 530/98, 523/7222?

Answer: LCM of Numerators as per given numbers 530/98, 523/7222 is

LCM of Numerators i.e. for 530,523 is 277190

GCF of denominators i.e. for 98,7222 is 2.

Thus, LCM of Fractions is 138595.Finally, LCM of Fractions for 530/98, 523/7222 is 138595.