LCM of 364, 968, 553, 158, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 968, 553, 158, 661 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 364, 968, 553, 158, 661. So, keep reading to learn more.
Given numbers are 364,968,553,158,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,968,553,158,661 is 4599867272.
Find LCM of 364,968,553,158,661 with Prime Factorization
| 2 | 364, 968, 553, 158, 661 |
| 2 | 182, 484, 553, 79, 661 |
| 7 | 91, 242, 553, 79, 661 |
| 79 | 13, 242, 79, 79, 661 |
| 13, 242, 1, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 79 x 13 x 242 x 1 x 1 x 661 = 4599867272
Therefore, the lowest common multiple of 364,968,553,158,661 is 4599867272.
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.
364 x 968 x 553 x 158 x 661 = 20349812811328
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
553 : 1, 7, 79, 553
158 : 1, 2, 79, 158
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,968,553,158,661, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
968:2x 2x 2x 11x 11
553:7x 79
158:2x 79
661:661
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 7x 79 = 4424
Therefore, the value for common factors is 4424.
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 = 20349812811328/(1x4424)
LCM = 20349812811328/4424
LCM = 4599867272
Thus, we can understand that the LCM of 364,968,553,158,661 is 4599867272.
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FAQs on LCM of 364, 968, 553, 158, 661
1. What is the LCM of 364, 968, 553, 158, 661?
Answer: LCM of 364, 968, 553, 158, 661 is 4599867272.
2. How to calculate the LCM of 364, 968, 553, 158, 661?
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 364, 968, 553, 158, 661.
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}.