LCM of 199, 772, 312, 924, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 772, 312, 924, 101 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 199, 772, 312, 924, 101. So, keep reading to learn more.
Given numbers are 199,772,312,924,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,772,312,924,101 is 93191666568.
Find LCM of 199,772,312,924,101 with Prime Factorization
| 2 | 199, 772, 312, 924, 101 |
| 2 | 199, 386, 156, 462, 101 |
| 3 | 199, 193, 78, 231, 101 |
| 199, 193, 26, 77, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 199 x 193 x 26 x 77 x 101 = 93191666568
Therefore, the lowest common multiple of 199,772,312,924,101 is 93191666568.
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.
199 x 772 x 312 x 924 x 101 = 4473199995264
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.
199 : 1, 199
772 : 1, 2, 4, 193, 386, 772
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,772,312,924,101, is 1.
Now, the common factors can be found like this.
199:199
772:2x 2x 193
312:2x 2x 2x 3x 13
924:2x 2x 3x 7x 11
101:101
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 3 = 48
Therefore, the value for common factors is 48.
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 = 4473199995264/(1x48)
LCM = 4473199995264/48
LCM = 93191666568
Thus, we can understand that the LCM of 199,772,312,924,101 is 93191666568.
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FAQs on LCM of 199, 772, 312, 924, 101
1. What is the LCM of 199, 772, 312, 924, 101?
Answer: LCM of 199, 772, 312, 924, 101 is 93191666568.
2. How to calculate the LCM of 199, 772, 312, 924, 101?
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 199, 772, 312, 924, 101.
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}.