LCM of 398, 780, 740, 924, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 780, 740, 924, 573 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 398, 780, 740, 924, 573. So, keep reading to learn more.
Given numbers are 398,780,740,924,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,780,740,924,573 is 84464359980.
Find LCM of 398,780,740,924,573 with Prime Factorization
| 2 | 398, 780, 740, 924, 573 |
| 2 | 199, 390, 370, 462, 573 |
| 3 | 199, 195, 185, 231, 573 |
| 5 | 199, 65, 185, 77, 191 |
| 199, 13, 37, 77, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 199 x 13 x 37 x 77 x 191 = 84464359980
Therefore, the lowest common multiple of 398,780,740,924,573 is 84464359980.
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.
398 x 780 x 740 x 924 x 573 = 121628678371200
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.
398 : 1, 2, 199, 398
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,780,740,924,573, is 1.
Now, the common factors can be found like this.
398:2x 199
780:2x 2x 3x 5x 13
740:2x 2x 5x 37
924:2x 2x 3x 7x 11
573:3x 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 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 121628678371200/(1x1440)
LCM = 121628678371200/1440
LCM = 84464359980
Thus, we can understand that the LCM of 398,780,740,924,573 is 84464359980.
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FAQs on LCM of 398, 780, 740, 924, 573
1. What is the LCM of 398, 780, 740, 924, 573?
Answer: LCM of 398, 780, 740, 924, 573 is 84464359980.
2. How to calculate the LCM of 398, 780, 740, 924, 573?
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 398, 780, 740, 924, 573.
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}.