Least Common Multiple of 69/482, 936/874, 211/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/482, 936/874, 211/944 quickly i.e. 2271204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/482, 936/874, 211/944 is 2271204.

LCM(69/482, 936/874, 211/944) = 2271204

LCM of 69/482, 936/874, 211/944

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 69/482,936/874,211/944

Given numbers are 69/482,936/874,211/944

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 69,936,211

Least Common Multiple of Numerators i.e. LCM of 69,936,211 is 4542408.

GCF of Denominators means GCF of 482,874,944 as per the given fractions.

GCF of 482,874,944 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,936,211

LCM of Fractions 69/482,936/874,211/944 is 2271204

3 69, 936, 211
23, 312, 211

∴ So the LCM of the given numbers is 3 x 23 x 312 x 211 = 4542408

Least Common Multiple of 69,936,211 with GCF Formula

Least Common Multiple of 69,936,211 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 69,936,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,936,211) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,936,211) x common factors =1 x 3 = 3

LCM(69,936,211) = ( 69 × 936 × 211 ) / 3

LCM(69,936,211) = 13627224 / 3

LCM(69,936,211) = 4542408


Lets's calculate GCF of 482,874,944

2 482, 874, 944
241, 437, 472

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4542408/2

Therefore the LCM of Fractions 69/482,936/874,211/944 is 2271204

Greatest Common Factor of 482,874,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,874,944 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 482,874,944 . The biggest common factor number is the GCF number.
So the greatest common factor 482,874,944 is 2.


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 69/482, 936/874, 211/944

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 69/482, 936/874, 211/944?

Answer: LCM of Numerators as per given numbers 69/482, 936/874, 211/944 is

LCM of Numerators i.e. for 69,936,211 is 4542408

GCF of denominators i.e. for 482,874,944 is 2.

Thus, LCM of Fractions is 2271204.Finally, LCM of Fractions for 69/482, 936/874, 211/944 is 2271204.