Least Common Multiple of 369/51, 969/16, 492/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/51, 969/16, 492/575 quickly i.e. 476748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/51, 969/16, 492/575 is 476748.

LCM(369/51, 969/16, 492/575) = 476748

LCM of 369/51, 969/16, 492/575

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 369/51,969/16,492/575

Given numbers are 369/51,969/16,492/575

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 369,969,492

Least Common Multiple of Numerators i.e. LCM of 369,969,492 is 476748.

GCF of Denominators means GCF of 51,16,575 as per the given fractions.

GCF of 51,16,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,969,492

LCM of Fractions 369/51,969/16,492/575 is 476748

3 369, 969, 492
41 123, 323, 164
3, 323, 4

∴ So the LCM of the given numbers is 3 x 41 x 3 x 323 x 4 = 476748

Least Common Multiple of 369,969,492 with GCF Formula

Least Common Multiple of 369,969,492 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 369,969,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,969,492) = 3

common factors(in case of two or more numbers have common factors) = 123

GCF(369,969,492) x common factors =3 x 123 = 369

LCM(369,969,492) = ( 369 × 969 × 492 ) / 369

LCM(369,969,492) = 175920012 / 369

LCM(369,969,492) = 476748


Lets's calculate GCF of 51,16,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476748/1

Therefore the LCM of Fractions 369/51,969/16,492/575 is 476748

Greatest Common Factor of 51,16,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,16,575 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 51,16,575 . The biggest common factor number is the GCF number.
So the greatest common factor 51,16,575 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 369/51, 969/16, 492/575

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 369/51, 969/16, 492/575?

Answer: LCM of Numerators as per given numbers 369/51, 969/16, 492/575 is

LCM of Numerators i.e. for 369,969,492 is 476748

GCF of denominators i.e. for 51,16,575 is 1.

Thus, LCM of Fractions is 476748.Finally, LCM of Fractions for 369/51, 969/16, 492/575 is 476748.