LCM of 906, 213, 370, 560, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 213, 370, 560, 763 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 906, 213, 370, 560, 763. So, keep reading to learn more.
Given numbers are 906,213,370,560,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,213,370,560,763 is 72639492240.
Find LCM of 906,213,370,560,763 with Prime Factorization
| 2 | 906, 213, 370, 560, 763 |
| 3 | 453, 213, 185, 280, 763 |
| 5 | 151, 71, 185, 280, 763 |
| 7 | 151, 71, 37, 56, 763 |
| 151, 71, 37, 8, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 151 x 71 x 37 x 8 x 109 = 72639492240
Therefore, the lowest common multiple of 906,213,370,560,763 is 72639492240.
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.
906 x 213 x 370 x 560 x 763 = 30508586740800
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
213 : 1, 3, 71, 213
370 : 1, 2, 5, 10, 37, 74, 185, 370
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,213,370,560,763, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
213:3x 71
370:2x 5x 37
560:2x 2x 2x 2x 5x 7
763:7x 109
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 7 = 420
Therefore, the value for common factors is 420.
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 = 30508586740800/(1x420)
LCM = 30508586740800/420
LCM = 72639492240
Thus, we can understand that the LCM of 906,213,370,560,763 is 72639492240.
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FAQs on LCM of 906, 213, 370, 560, 763
1. What is the LCM of 906, 213, 370, 560, 763?
Answer: LCM of 906, 213, 370, 560, 763 is 72639492240.
2. How to calculate the LCM of 906, 213, 370, 560, 763?
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 906, 213, 370, 560, 763.
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}.