LCM of 863, 506, 552, 851, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 863, 506, 552, 851, 788 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 863, 506, 552, 851, 788. So, keep reading to learn more.
Given numbers are 863,506,552,851,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,506,552,851,788 is 38195351304.
Find LCM of 863,506,552,851,788 with Prime Factorization
| 2 | 863, 506, 552, 851, 788 |
| 2 | 863, 253, 276, 851, 394 |
| 23 | 863, 253, 138, 851, 197 |
| 863, 11, 6, 37, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 863 x 11 x 6 x 37 x 197 = 38195351304
Therefore, the lowest common multiple of 863,506,552,851,788 is 38195351304.
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.
863 x 506 x 552 x 851 x 788 = 161642726718528
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.
863 : 1, 863
506 : 1, 2, 11, 22, 23, 46, 253, 506
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
851 : 1, 23, 37, 851
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,506,552,851,788, is 1.
Now, the common factors can be found like this.
863:863
506:2x 11x 23
552:2x 2x 2x 3x 23
851:23x 37
788:2x 2x 197
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 23x 23 = 4232
Therefore, the value for common factors is 4232.
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 = 161642726718528/(1x4232)
LCM = 161642726718528/4232
LCM = 38195351304
Thus, we can understand that the LCM of 863,506,552,851,788 is 38195351304.
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FAQs on LCM of 863, 506, 552, 851, 788
1. What is the LCM of 863, 506, 552, 851, 788?
Answer: LCM of 863, 506, 552, 851, 788 is 38195351304.
2. How to calculate the LCM of 863, 506, 552, 851, 788?
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 863, 506, 552, 851, 788.
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}.