LCM of 801, 264, 646, 692, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 264, 646, 692, 456 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 801, 264, 646, 692, 456. So, keep reading to learn more.
Given numbers are 801,264,646,692,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,264,646,692,456 is 3938798952.
Find LCM of 801,264,646,692,456 with Prime Factorization
| 2 | 801, 264, 646, 692, 456 |
| 2 | 801, 132, 323, 346, 228 |
| 2 | 801, 66, 323, 173, 114 |
| 3 | 801, 33, 323, 173, 57 |
| 19 | 267, 11, 323, 173, 19 |
| 267, 11, 17, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 267 x 11 x 17 x 173 x 1 = 3938798952
Therefore, the lowest common multiple of 801,264,646,692,456 is 3938798952.
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.
801 x 264 x 646 x 692 x 456 = 43106215730688
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.
801 : 1, 3, 9, 89, 267, 801
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
646 : 1, 2, 17, 19, 34, 38, 323, 646
692 : 1, 2, 4, 173, 346, 692
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,264,646,692,456, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
264:2x 2x 2x 3x 11
646:2x 17x 19
692:2x 2x 173
456:2x 2x 2x 3x 19
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 2x 3x 3x 19 = 10944
Therefore, the value for common factors is 10944.
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 = 43106215730688/(1x10944)
LCM = 43106215730688/10944
LCM = 3938798952
Thus, we can understand that the LCM of 801,264,646,692,456 is 3938798952.
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FAQs on LCM of 801, 264, 646, 692, 456
1. What is the LCM of 801, 264, 646, 692, 456?
Answer: LCM of 801, 264, 646, 692, 456 is 3938798952.
2. How to calculate the LCM of 801, 264, 646, 692, 456?
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 801, 264, 646, 692, 456.
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}.