LCM of 355, 969, 363, 400, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 969, 363, 400, 152 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 355, 969, 363, 400, 152. So, keep reading to learn more.
Given numbers are 355,969,363,400,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,969,363,400,152 is 3329871600.
Find LCM of 355,969,363,400,152 with Prime Factorization
| 2 | 355, 969, 363, 400, 152 |
| 2 | 355, 969, 363, 200, 76 |
| 2 | 355, 969, 363, 100, 38 |
| 3 | 355, 969, 363, 50, 19 |
| 5 | 355, 323, 121, 50, 19 |
| 19 | 71, 323, 121, 10, 19 |
| 71, 17, 121, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 71 x 17 x 121 x 10 x 1 = 3329871600
Therefore, the lowest common multiple of 355,969,363,400,152 is 3329871600.
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.
355 x 969 x 363 x 400 x 152 = 7592107248000
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.
355 : 1, 5, 71, 355
969 : 1, 3, 17, 19, 51, 57, 323, 969
363 : 1, 3, 11, 33, 121, 363
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,969,363,400,152, is 1.
Now, the common factors can be found like this.
355:5x 71
969:3x 17x 19
363:3x 11x 11
400:2x 2x 2x 2x 5x 5
152:2x 2x 2x 19
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 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 7592107248000/(1x2280)
LCM = 7592107248000/2280
LCM = 3329871600
Thus, we can understand that the LCM of 355,969,363,400,152 is 3329871600.
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FAQs on LCM of 355, 969, 363, 400, 152
1. What is the LCM of 355, 969, 363, 400, 152?
Answer: LCM of 355, 969, 363, 400, 152 is 3329871600.
2. How to calculate the LCM of 355, 969, 363, 400, 152?
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 355, 969, 363, 400, 152.
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}.