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LCM of 924, 468, 349, 924

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


Find the LCM of 924, 468, 349, 924 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, 468, 349, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,468,349,924

Given numbers are 924,468,349,924

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

The LCM of 924,468,349,924 is 12576564.

Find LCM of 924,468,349,924 with Prime Factorization


2 924, 468, 349, 924
2 462, 234, 349, 462
3 231, 117, 349, 231
7 77, 39, 349, 77
11 11, 39, 349, 11
1, 39, 349, 1

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

2 x 2 x 3 x 7 x 11 x 1 x 39 x 349 x 1 = 12576564

Therefore, the lowest common multiple of 924,468,349,924 is 12576564.

LCM Formula to Find Lowest Common Multiple of 924,468,349,924

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 468 x 349 x 924 = 139448941632

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

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

349 : 1, 349

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,468,349,924, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

468:2x 2x 3x 3x 13

349:349

924:2x 2x 3x 7x 11

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 2x 3x 3x 7x 11 = 11088

Therefore, the value for common factors is 11088.

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 = 139448941632/(1x11088)

LCM = 139448941632/11088

LCM = 12576564

Thus, we can understand that the LCM of 924,468,349,924 is 12576564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 468, 349, 924

1. What is the LCM of 924, 468, 349, 924?

Answer: LCM of 924, 468, 349, 924 is 12576564.

2. How to calculate the LCM of 924, 468, 349, 924?

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, 468, 349, 924.

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}.