Least Common Multiple of 69/551, 9057/1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/551, 9057/1725 quickly i.e. 208311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/551, 9057/1725 is 208311.

LCM(69/551, 9057/1725) = 208311

LCM of 69/551, 9057/1725

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 69/551,9057/1725

Given numbers are 69/551,9057/1725

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 69,9057

Least Common Multiple of Numerators i.e. LCM of 69,9057 is 208311.

GCF of Denominators means GCF of 551,1725 as per the given fractions.

GCF of 551,1725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,9057

LCM of Fractions 69/551,9057/1725 is 208311

3 69, 9057
23, 3019

∴ So the LCM of the given numbers is 3 x 23 x 3019 = 208311

Least Common Multiple of 69,9057 with GCF Formula

Least Common Multiple of 69,9057 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 69,9057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,9057) = 3

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

GCF(69,9057) x common factors =3 x 1 = 3

LCM(69,9057) = ( 69 × 9057 ) / 3

LCM(69,9057) = 624933 / 3

LCM(69,9057) = 208311


Lets's calculate GCF of 551,1725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208311/1

Therefore the LCM of Fractions 69/551,9057/1725 is 208311

Greatest Common Factor of 551,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,1725 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 551,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 551,1725 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/551, 9057/1725

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 69/551, 9057/1725?

Answer: LCM of Numerators as per given numbers 69/551, 9057/1725 is

LCM of Numerators i.e. for 69,9057 is 208311

GCF of denominators i.e. for 551,1725 is 1.

Thus, LCM of Fractions is 208311.Finally, LCM of Fractions for 69/551, 9057/1725 is 208311.