LCM of 368, 460, 565, 855, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 460, 565, 855, 951 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 368, 460, 565, 855, 951. So, keep reading to learn more.
Given numbers are 368,460,565,855,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,460,565,855,951 is 11270719440.
Find LCM of 368,460,565,855,951 with Prime Factorization
| 2 | 368, 460, 565, 855, 951 |
| 2 | 184, 230, 565, 855, 951 |
| 3 | 92, 115, 565, 855, 951 |
| 5 | 92, 115, 565, 285, 317 |
| 23 | 92, 23, 113, 57, 317 |
| 4, 1, 113, 57, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 4 x 1 x 113 x 57 x 317 = 11270719440
Therefore, the lowest common multiple of 368,460,565,855,951 is 11270719440.
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.
368 x 460 x 565 x 855 x 951 = 77767964136000
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
565 : 1, 5, 113, 565
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,460,565,855,951, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
460:2x 2x 5x 23
565:5x 113
855:3x 3x 5x 19
951:3x 317
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 3x 5x 5x 23 = 6900
Therefore, the value for common factors is 6900.
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 = 77767964136000/(1x6900)
LCM = 77767964136000/6900
LCM = 11270719440
Thus, we can understand that the LCM of 368,460,565,855,951 is 11270719440.
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FAQs on LCM of 368, 460, 565, 855, 951
1. What is the LCM of 368, 460, 565, 855, 951?
Answer: LCM of 368, 460, 565, 855, 951 is 11270719440.
2. How to calculate the LCM of 368, 460, 565, 855, 951?
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 368, 460, 565, 855, 951.
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}.