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LCM of 926, 551, 284, 994

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


Find the LCM of 926, 551, 284, 994 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 926, 551, 284, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,551,284,994

Given numbers are 926,551,284,994

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

The LCM of 926,551,284,994 is 507164644.

Find LCM of 926,551,284,994 with Prime Factorization


2 926, 551, 284, 994
71 463, 551, 142, 497
463, 551, 2, 7

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

2 x 71 x 463 x 551 x 2 x 7 = 507164644

Therefore, the lowest common multiple of 926,551,284,994 is 507164644.

LCM Formula to Find Lowest Common Multiple of 926,551,284,994

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.

926 x 551 x 284 x 994 = 144034758896

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.

926 : 1, 2, 463, 926

551 : 1, 19, 29, 551

284 : 1, 2, 4, 71, 142, 284

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,551,284,994, is 1.

Now, the common factors can be found like this.

926:2x 463

551:19x 29

284:2x 2x 71

994:2x 7x 71

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 71 = 284

Therefore, the value for common factors is 284.

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 = 144034758896/(1x284)

LCM = 144034758896/284

LCM = 507164644

Thus, we can understand that the LCM of 926,551,284,994 is 507164644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 551, 284, 994

1. What is the LCM of 926, 551, 284, 994?

Answer: LCM of 926, 551, 284, 994 is 507164644.

2. How to calculate the LCM of 926, 551, 284, 994?

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 926, 551, 284, 994.

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}.