LCM of 802, 398, 495, 948, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 802, 398, 495, 948, 700 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 802, 398, 495, 948, 700. So, keep reading to learn more.
Given numbers are 802,398,495,948,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,398,495,948,700 is 436875585300.
Find LCM of 802,398,495,948,700 with Prime Factorization
| 2 | 802, 398, 495, 948, 700 |
| 2 | 401, 199, 495, 474, 350 |
| 3 | 401, 199, 495, 237, 175 |
| 5 | 401, 199, 165, 79, 175 |
| 401, 199, 33, 79, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 401 x 199 x 33 x 79 x 35 = 436875585300
Therefore, the lowest common multiple of 802,398,495,948,700 is 436875585300.
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.
802 x 398 x 495 x 948 x 700 = 104850140472000
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.
802 : 1, 2, 401, 802
398 : 1, 2, 199, 398
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,398,495,948,700, is 1.
Now, the common factors can be found like this.
802:2x 401
398:2x 199
495:3x 3x 5x 11
948:2x 2x 3x 79
700:2x 2x 5x 5x 7
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 104850140472000/(1x240)
LCM = 104850140472000/240
LCM = 436875585300
Thus, we can understand that the LCM of 802,398,495,948,700 is 436875585300.
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FAQs on LCM of 802, 398, 495, 948, 700
1. What is the LCM of 802, 398, 495, 948, 700?
Answer: LCM of 802, 398, 495, 948, 700 is 436875585300.
2. How to calculate the LCM of 802, 398, 495, 948, 700?
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 802, 398, 495, 948, 700.
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}.