Least Common Multiple of 569/969, 960/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 569/969, 960/551 quickly i.e. 546240/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/969, 960/551 is 546240/19.

LCM(569/969, 960/551) = 546240/19

LCM of 569/969, 960/551

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 569/969,960/551

Given numbers are 569/969,960/551

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 569,960

Least Common Multiple of Numerators i.e. LCM of 569,960 is 546240.

GCF of Denominators means GCF of 969,551 as per the given fractions.

GCF of 969,551 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,960

LCM of Fractions 569/969,960/551 is 546240/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 546240

Least Common Multiple of 569,960 with GCF Formula

Least Common Multiple of 569,960 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 569,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,960) = 1

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

GCF(569,960) x common factors =1 x 1 = 1

LCM(569,960) = ( 569 × 960 ) / 1

LCM(569,960) = 546240 / 1

LCM(569,960) = 546240


Lets's calculate GCF of 969,551

19 969, 551
51, 29

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546240/19

Therefore the LCM of Fractions 569/969,960/551 is 546240/19

Greatest Common Factor of 969,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,551 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 551

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

1,19,29,551

Greatest Common Factor

We found the factors 969,551 . The biggest common factor number is the GCF number.
So the greatest common factor 969,551 is 19.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 569/969, 960/551

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 569/969, 960/551?

Answer: LCM of Numerators as per given numbers 569/969, 960/551 is

LCM of Numerators i.e. for 569,960 is 546240

GCF of denominators i.e. for 969,551 is 19.

Thus, LCM of Fractions is 546240/19.Finally, LCM of Fractions for 569/969, 960/551 is 546240/19.