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LCM of 924, 399, 612, 454

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


Find the LCM of 924, 399, 612, 454 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 924, 399, 612, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,399,612,454

Given numbers are 924,399,612,454

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

The LCM of 924,399,612,454 is 203245812.

Find LCM of 924,399,612,454 with Prime Factorization


2 924, 399, 612, 454
2 462, 399, 306, 227
3 231, 399, 153, 227
7 77, 133, 51, 227
11, 19, 51, 227

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

2 x 2 x 3 x 7 x 11 x 19 x 51 x 227 = 203245812

Therefore, the lowest common multiple of 924,399,612,454 is 203245812.

LCM Formula to Find Lowest Common Multiple of 924,399,612,454

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.

924 x 399 x 612 x 454 = 102435889248

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

399 : 1, 3, 7, 19, 21, 57, 133, 399

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,399,612,454, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

399:3x 7x 19

612:2x 2x 3x 3x 17

454:2x 227

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 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 102435889248/(1x504)

LCM = 102435889248/504

LCM = 203245812

Thus, we can understand that the LCM of 924,399,612,454 is 203245812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 399, 612, 454

1. What is the LCM of 924, 399, 612, 454?

Answer: LCM of 924, 399, 612, 454 is 203245812.

2. How to calculate the LCM of 924, 399, 612, 454?

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 924, 399, 612, 454.

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}.