LCM of 782, 464, 140, 299, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 464, 140, 299, 350 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 782, 464, 140, 299, 350. So, keep reading to learn more.
Given numbers are 782,464,140,299,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,464,140,299,350 is 412739600.
Find LCM of 782,464,140,299,350 with Prime Factorization
| 2 | 782, 464, 140, 299, 350 |
| 2 | 391, 232, 70, 299, 175 |
| 5 | 391, 116, 35, 299, 175 |
| 7 | 391, 116, 7, 299, 35 |
| 23 | 391, 116, 1, 299, 5 |
| 17, 116, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 23 x 17 x 116 x 1 x 13 x 5 = 412739600
Therefore, the lowest common multiple of 782,464,140,299,350 is 412739600.
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.
782 x 464 x 140 x 299 x 350 = 5316086048000
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
299 : 1, 13, 23, 299
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,464,140,299,350, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
464:2x 2x 2x 2x 29
140:2x 2x 5x 7
299:13x 23
350:2x 5x 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 5x 7x 23 = 12880
Therefore, the value for common factors is 12880.
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 = 5316086048000/(1x12880)
LCM = 5316086048000/12880
LCM = 412739600
Thus, we can understand that the LCM of 782,464,140,299,350 is 412739600.
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FAQs on LCM of 782, 464, 140, 299, 350
1. What is the LCM of 782, 464, 140, 299, 350?
Answer: LCM of 782, 464, 140, 299, 350 is 412739600.
2. How to calculate the LCM of 782, 464, 140, 299, 350?
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 782, 464, 140, 299, 350.
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}.