Least Common Multiple of 969/51, 552/6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 969/51, 552/6264 quickly i.e. 59432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/51, 552/6264 is 59432.

LCM(969/51, 552/6264) = 59432

LCM of 969/51, 552/6264

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 969/51,552/6264

Given numbers are 969/51,552/6264

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 969,552

Least Common Multiple of Numerators i.e. LCM of 969,552 is 178296.

GCF of Denominators means GCF of 51,6264 as per the given fractions.

GCF of 51,6264 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,552

LCM of Fractions 969/51,552/6264 is 59432

3 969, 552
323, 184

∴ So the LCM of the given numbers is 3 x 323 x 184 = 178296

Least Common Multiple of 969,552 with GCF Formula

Least Common Multiple of 969,552 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 969,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,552) = 3

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

GCF(969,552) x common factors =3 x 1 = 3

LCM(969,552) = ( 969 × 552 ) / 3

LCM(969,552) = 534888 / 3

LCM(969,552) = 178296


Lets's calculate GCF of 51,6264

3 51, 6264
17, 2088

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178296/3

Therefore the LCM of Fractions 969/51,552/6264 is 59432

Greatest Common Factor of 51,6264 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,6264 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors 51,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 51,6264 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 969/51, 552/6264

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 969/51, 552/6264?

Answer: LCM of Numerators as per given numbers 969/51, 552/6264 is

LCM of Numerators i.e. for 969,552 is 178296

GCF of denominators i.e. for 51,6264 is 3.

Thus, LCM of Fractions is 59432.Finally, LCM of Fractions for 969/51, 552/6264 is 59432.