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LCM of 468, 741, 299, 236

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 468, 741, 299, 236 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 468, 741, 299, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,741,299,236

Given numbers are 468,741,299,236

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 468,741,299,236 is 12066444.

Find LCM of 468,741,299,236 with Prime Factorization


2 468, 741, 299, 236
2 234, 741, 299, 118
3 117, 741, 299, 59
13 39, 247, 299, 59
3, 19, 23, 59

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 13 x 3 x 19 x 23 x 59 = 12066444

Therefore, the lowest common multiple of 468,741,299,236 is 12066444.

LCM Formula to Find Lowest Common Multiple of 468,741,299,236

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

468 x 741 x 299 x 236 = 24470748432

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

741 : 1, 3, 13, 19, 39, 57, 247, 741

299 : 1, 13, 23, 299

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,741,299,236, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

741:3x 13x 19

299:13x 23

236:2x 2x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24470748432/(1x2028)

LCM = 24470748432/2028

LCM = 12066444

Thus, we can understand that the LCM of 468,741,299,236 is 12066444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 741, 299, 236

1. What is the LCM of 468, 741, 299, 236?

Answer: LCM of 468, 741, 299, 236 is 12066444.

2. How to calculate the LCM of 468, 741, 299, 236?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 468, 741, 299, 236.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.