Least Common Multiple of 69/369, 744/964, 232/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/369, 744/964, 232/190 quickly i.e. 496248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/369, 744/964, 232/190 is 496248.

LCM(69/369, 744/964, 232/190) = 496248

LCM of 69/369, 744/964, 232/190

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 69/369,744/964,232/190

Given numbers are 69/369,744/964,232/190

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 69,744,232

Least Common Multiple of Numerators i.e. LCM of 69,744,232 is 496248.

GCF of Denominators means GCF of 369,964,190 as per the given fractions.

GCF of 369,964,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,744,232

LCM of Fractions 69/369,744/964,232/190 is 496248

2 69, 744, 232
2 69, 372, 116
2 69, 186, 58
3 69, 93, 29
23, 31, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 31 x 29 = 496248

Least Common Multiple of 69,744,232 with GCF Formula

Least Common Multiple of 69,744,232 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 69,744,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,744,232) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(69,744,232) x common factors =1 x 24 = 24

LCM(69,744,232) = ( 69 × 744 × 232 ) / 24

LCM(69,744,232) = 11909952 / 24

LCM(69,744,232) = 496248


Lets's calculate GCF of 369,964,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496248/1

Therefore the LCM of Fractions 69/369,744/964,232/190 is 496248

Greatest Common Factor of 369,964,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,964,190 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 369,964,190 . The biggest common factor number is the GCF number.
So the greatest common factor 369,964,190 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 69/369, 744/964, 232/190

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 69/369, 744/964, 232/190?

Answer: LCM of Numerators as per given numbers 69/369, 744/964, 232/190 is

LCM of Numerators i.e. for 69,744,232 is 496248

GCF of denominators i.e. for 369,964,190 is 1.

Thus, LCM of Fractions is 496248.Finally, LCM of Fractions for 69/369, 744/964, 232/190 is 496248.