LCM of 414, 368, 736, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 368, 736, 802 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 414, 368, 736, 802. So, keep reading to learn more.
Given numbers are 414,368,736,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,368,736,802 is 2656224.
Find LCM of 414,368,736,802 with Prime Factorization
| 2 | 414, 368, 736, 802 |
| 2 | 207, 184, 368, 401 |
| 2 | 207, 92, 184, 401 |
| 2 | 207, 46, 92, 401 |
| 23 | 207, 23, 46, 401 |
| 9, 1, 2, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 9 x 1 x 2 x 401 = 2656224
Therefore, the lowest common multiple of 414,368,736,802 is 2656224.
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.
414 x 368 x 736 x 802 = 89929119744
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
802 : 1, 2, 401, 802
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,368,736,802, is 2.
Now, the common factors can be found like this.
414:2x 3x 3x 23
368:2x 2x 2x 2x 23
736:2x 2x 2x 2x 2x 23
802:2x 401
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 2x 23x 23 = 16928
Therefore, the value for common factors is 16928.
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 = 89929119744/(2x16928)
LCM = 89929119744/33856
LCM = 2656224
Thus, we can understand that the LCM of 414,368,736,802 is 2656224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 368, 736, 802
1. What is the LCM of 414, 368, 736, 802?
Answer: LCM of 414, 368, 736, 802 is 2656224.
2. How to calculate the LCM of 414, 368, 736, 802?
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 414, 368, 736, 802.
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}.