LCM of 372, 300, 648, 894, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 300, 648, 894, 704 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 372, 300, 648, 894, 704. So, keep reading to learn more.
Given numbers are 372,300,648,894,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,300,648,894,704 is 6584846400.
Find LCM of 372,300,648,894,704 with Prime Factorization
| 2 | 372, 300, 648, 894, 704 |
| 2 | 186, 150, 324, 447, 352 |
| 2 | 93, 75, 162, 447, 176 |
| 3 | 93, 75, 81, 447, 88 |
| 31, 25, 27, 149, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 25 x 27 x 149 x 88 = 6584846400
Therefore, the lowest common multiple of 372,300,648,894,704 is 6584846400.
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.
372 x 300 x 648 x 894 x 704 = 45514458316800
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
894 : 1, 2, 3, 6, 149, 298, 447, 894
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,300,648,894,704, is 2.
Now, the common factors can be found like this.
372:2x 2x 3x 31
300:2x 2x 3x 5x 5
648:2x 2x 2x 3x 3x 3x 3
894:2x 3x 149
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 45514458316800/(2x3456)
LCM = 45514458316800/6912
LCM = 6584846400
Thus, we can understand that the LCM of 372,300,648,894,704 is 6584846400.
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FAQs on LCM of 372, 300, 648, 894, 704
1. What is the LCM of 372, 300, 648, 894, 704?
Answer: LCM of 372, 300, 648, 894, 704 is 6584846400.
2. How to calculate the LCM of 372, 300, 648, 894, 704?
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 372, 300, 648, 894, 704.
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}.