LCM of 805, 736, 974, 706, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 736, 974, 706, 280 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 805, 736, 974, 706, 280. So, keep reading to learn more.
Given numbers are 805,736,974,706,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,736,974,706,280 is 4428427360.
Find LCM of 805,736,974,706,280 with Prime Factorization
| 2 | 805, 736, 974, 706, 280 |
| 2 | 805, 368, 487, 353, 140 |
| 2 | 805, 184, 487, 353, 70 |
| 5 | 805, 92, 487, 353, 35 |
| 7 | 161, 92, 487, 353, 7 |
| 23 | 23, 92, 487, 353, 1 |
| 1, 4, 487, 353, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 23 x 1 x 4 x 487 x 353 x 1 = 4428427360
Therefore, the lowest common multiple of 805,736,974,706,280 is 4428427360.
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.
805 x 736 x 974 x 706 x 280 = 114076288793600
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
974 : 1, 2, 487, 974
706 : 1, 2, 353, 706
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,736,974,706,280, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
736:2x 2x 2x 2x 2x 23
974:2x 487
706:2x 353
280:2x 2x 2x 5x 7
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 5x 7x 23 = 25760
Therefore, the value for common factors is 25760.
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 = 114076288793600/(1x25760)
LCM = 114076288793600/25760
LCM = 4428427360
Thus, we can understand that the LCM of 805,736,974,706,280 is 4428427360.
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FAQs on LCM of 805, 736, 974, 706, 280
1. What is the LCM of 805, 736, 974, 706, 280?
Answer: LCM of 805, 736, 974, 706, 280 is 4428427360.
2. How to calculate the LCM of 805, 736, 974, 706, 280?
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 805, 736, 974, 706, 280.
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}.