Find the LCM of 762, 320, 999, 710, 444 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 762, 320, 999, 710, 444. So, keep reading to learn more.
Given numbers are 762,320,999,710,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,320,999,710,444 is 2882554560.
Find LCM of 762,320,999,710,444 with Prime Factorization
2 | 762, 320, 999, 710, 444 |
2 | 381, 160, 999, 355, 222 |
3 | 381, 80, 999, 355, 111 |
5 | 127, 80, 333, 355, 37 |
37 | 127, 16, 333, 71, 37 |
127, 16, 9, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 127 x 16 x 9 x 71 x 1 = 2882554560
Therefore, the lowest common multiple of 762,320,999,710,444 is 2882554560.
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.
762 x 320 x 999 x 710 x 444 = 76791253478400
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
999 : 1, 3, 9, 27, 37, 111, 333, 999
710 : 1, 2, 5, 10, 71, 142, 355, 710
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,320,999,710,444, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
320:2x 2x 2x 2x 2x 2x 5
999:3x 3x 3x 37
710:2x 5x 71
444:2x 2x 3x 37
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 5x 37 = 26640
Therefore, the value for common factors is 26640.
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 = 76791253478400/(1x26640)
LCM = 76791253478400/26640
LCM = 2882554560
Thus, we can understand that the LCM of 762,320,999,710,444 is 2882554560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 762, 320, 999, 710, 444?
Answer: LCM of 762, 320, 999, 710, 444 is 2882554560.
2. How to calculate the LCM of 762, 320, 999, 710, 444?
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 762, 320, 999, 710, 444.
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}.