LCM of 598, 392, 814, 938, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 392, 814, 938, 300 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 598, 392, 814, 938, 300. So, keep reading to learn more.
Given numbers are 598,392,814,938,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,392,814,938,300 is 239710871400.
Find LCM of 598,392,814,938,300 with Prime Factorization
| 2 | 598, 392, 814, 938, 300 |
| 2 | 299, 196, 407, 469, 150 |
| 7 | 299, 98, 407, 469, 75 |
| 299, 14, 407, 67, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 299 x 14 x 407 x 67 x 75 = 239710871400
Therefore, the lowest common multiple of 598,392,814,938,300 is 239710871400.
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.
598 x 392 x 814 x 938 x 300 = 53695235193600
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
814 : 1, 2, 11, 22, 37, 74, 407, 814
938 : 1, 2, 7, 14, 67, 134, 469, 938
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,392,814,938,300, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
392:2x 2x 2x 7x 7
814:2x 11x 37
938:2x 7x 67
300:2x 2x 3x 5x 5
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 7 = 112
Therefore, the value for common factors is 112.
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 = 53695235193600/(2x112)
LCM = 53695235193600/224
LCM = 239710871400
Thus, we can understand that the LCM of 598,392,814,938,300 is 239710871400.
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FAQs on LCM of 598, 392, 814, 938, 300
1. What is the LCM of 598, 392, 814, 938, 300?
Answer: LCM of 598, 392, 814, 938, 300 is 239710871400.
2. How to calculate the LCM of 598, 392, 814, 938, 300?
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 598, 392, 814, 938, 300.
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}.