LCM of 758, 736, 391, 710, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 736, 391, 710, 435 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 758, 736, 391, 710, 435. So, keep reading to learn more.
Given numbers are 758,736,391,710,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,736,391,710,435 is 146458152480.
Find LCM of 758,736,391,710,435 with Prime Factorization
| 2 | 758, 736, 391, 710, 435 |
| 5 | 379, 368, 391, 355, 435 |
| 23 | 379, 368, 391, 71, 87 |
| 379, 16, 17, 71, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 379 x 16 x 17 x 71 x 87 = 146458152480
Therefore, the lowest common multiple of 758,736,391,710,435 is 146458152480.
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.
758 x 736 x 391 x 710 x 435 = 67370750140800
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.
758 : 1, 2, 379, 758
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
391 : 1, 17, 23, 391
710 : 1, 2, 5, 10, 71, 142, 355, 710
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,736,391,710,435, is 1.
Now, the common factors can be found like this.
758:2x 379
736:2x 2x 2x 2x 2x 23
391:17x 23
710:2x 5x 71
435:3x 5x 29
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 67370750140800/(1x460)
LCM = 67370750140800/460
LCM = 146458152480
Thus, we can understand that the LCM of 758,736,391,710,435 is 146458152480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 758, 736, 391, 710, 435
1. What is the LCM of 758, 736, 391, 710, 435?
Answer: LCM of 758, 736, 391, 710, 435 is 146458152480.
2. How to calculate the LCM of 758, 736, 391, 710, 435?
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 758, 736, 391, 710, 435.
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}.