LCM of 587, 315, 846, 772, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 315, 846, 772, 679 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 587, 315, 846, 772, 679. So, keep reading to learn more.
Given numbers are 587,315,846,772,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,315,846,772,679 is 650782022940.
Find LCM of 587,315,846,772,679 with Prime Factorization
| 2 | 587, 315, 846, 772, 679 |
| 3 | 587, 315, 423, 386, 679 |
| 3 | 587, 105, 141, 386, 679 |
| 7 | 587, 35, 47, 386, 679 |
| 587, 5, 47, 386, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 587 x 5 x 47 x 386 x 97 = 650782022940
Therefore, the lowest common multiple of 587,315,846,772,679 is 650782022940.
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.
587 x 315 x 846 x 772 x 679 = 81998534890440
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.
587 : 1, 587
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
772 : 1, 2, 4, 193, 386, 772
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,315,846,772,679, is 1.
Now, the common factors can be found like this.
587:587
315:3x 3x 5x 7
846:2x 3x 3x 47
772:2x 2x 193
679:7x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 81998534890440/(1x126)
LCM = 81998534890440/126
LCM = 650782022940
Thus, we can understand that the LCM of 587,315,846,772,679 is 650782022940.
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FAQs on LCM of 587, 315, 846, 772, 679
1. What is the LCM of 587, 315, 846, 772, 679?
Answer: LCM of 587, 315, 846, 772, 679 is 650782022940.
2. How to calculate the LCM of 587, 315, 846, 772, 679?
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 587, 315, 846, 772, 679.
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}.