LCM of 600, 519, 354, 362, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 519, 354, 362, 764 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 600, 519, 354, 362, 764. So, keep reading to learn more.
Given numbers are 600,519,354,362,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,519,354,362,764 is 211719718200.
Find LCM of 600,519,354,362,764 with Prime Factorization
| 2 | 600, 519, 354, 362, 764 |
| 2 | 300, 519, 177, 181, 382 |
| 3 | 150, 519, 177, 181, 191 |
| 50, 173, 59, 181, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 50 x 173 x 59 x 181 x 191 = 211719718200
Therefore, the lowest common multiple of 600,519,354,362,764 is 211719718200.
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.
600 x 519 x 354 x 362 x 764 = 30487639420800
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
519 : 1, 3, 173, 519
354 : 1, 2, 3, 6, 59, 118, 177, 354
362 : 1, 2, 181, 362
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,519,354,362,764, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
519:3x 173
354:2x 3x 59
362:2x 181
764:2x 2x 191
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 3 = 144
Therefore, the value for common factors is 144.
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 = 30487639420800/(1x144)
LCM = 30487639420800/144
LCM = 211719718200
Thus, we can understand that the LCM of 600,519,354,362,764 is 211719718200.
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FAQs on LCM of 600, 519, 354, 362, 764
1. What is the LCM of 600, 519, 354, 362, 764?
Answer: LCM of 600, 519, 354, 362, 764 is 211719718200.
2. How to calculate the LCM of 600, 519, 354, 362, 764?
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 600, 519, 354, 362, 764.
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}.