LCM of 642, 730, 598, 414, 757
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 730, 598, 414, 757 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 642, 730, 598, 414, 757. So, keep reading to learn more.
Given numbers are 642,730,598,414,757
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,730,598,414,757 is 159116865570.
Find LCM of 642,730,598,414,757 with Prime Factorization
| 2 | 642, 730, 598, 414, 757 |
| 3 | 321, 365, 299, 207, 757 |
| 23 | 107, 365, 299, 69, 757 |
| 107, 365, 13, 3, 757 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 107 x 365 x 13 x 3 x 757 = 159116865570
Therefore, the lowest common multiple of 642,730,598,414,757 is 159116865570.
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.
642 x 730 x 598 x 414 x 757 = 87832509794640
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
730 : 1, 2, 5, 10, 73, 146, 365, 730
598 : 1, 2, 13, 23, 26, 46, 299, 598
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
757 : 1, 757
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,730,598,414,757, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
730:2x 5x 73
598:2x 13x 23
414:2x 3x 3x 23
757:757
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 87832509794640/(1x552)
LCM = 87832509794640/552
LCM = 159116865570
Thus, we can understand that the LCM of 642,730,598,414,757 is 159116865570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 730, 598, 414, 757
1. What is the LCM of 642, 730, 598, 414, 757?
Answer: LCM of 642, 730, 598, 414, 757 is 159116865570.
2. How to calculate the LCM of 642, 730, 598, 414, 757?
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 642, 730, 598, 414, 757.
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}.