Least Common Multiple of 69/98, 96/403, 549/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/98, 96/403, 549/625 quickly i.e. 404064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/98, 96/403, 549/625 is 404064.

LCM(69/98, 96/403, 549/625) = 404064

LCM of 69/98, 96/403, 549/625

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 69/98,96/403,549/625

Given numbers are 69/98,96/403,549/625

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 69,96,549

Least Common Multiple of Numerators i.e. LCM of 69,96,549 is 404064.

GCF of Denominators means GCF of 98,403,625 as per the given fractions.

GCF of 98,403,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,96,549

LCM of Fractions 69/98,96/403,549/625 is 404064

3 69, 96, 549
23, 32, 183

∴ So the LCM of the given numbers is 3 x 23 x 32 x 183 = 404064

Least Common Multiple of 69,96,549 with GCF Formula

Least Common Multiple of 69,96,549 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 69,96,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,96,549) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,96,549) x common factors =3 x 3 = 9

LCM(69,96,549) = ( 69 × 96 × 549 ) / 9

LCM(69,96,549) = 3636576 / 9

LCM(69,96,549) = 404064


Lets's calculate GCF of 98,403,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404064/1

Therefore the LCM of Fractions 69/98,96/403,549/625 is 404064

Greatest Common Factor of 98,403,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,403,625 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 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 98,403,625 . The biggest common factor number is the GCF number.
So the greatest common factor 98,403,625 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 69/98, 96/403, 549/625

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 69/98, 96/403, 549/625?

Answer: LCM of Numerators as per given numbers 69/98, 96/403, 549/625 is

LCM of Numerators i.e. for 69,96,549 is 404064

GCF of denominators i.e. for 98,403,625 is 1.

Thus, LCM of Fractions is 404064.Finally, LCM of Fractions for 69/98, 96/403, 549/625 is 404064.