LCM of 632, 688, 782, 436, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 632, 688, 782, 436, 600 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 632, 688, 782, 436, 600. So, keep reading to learn more.
Given numbers are 632,688,782,436,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,688,782,436,600 is 173732091600.
Find LCM of 632,688,782,436,600 with Prime Factorization
| 2 | 632, 688, 782, 436, 600 |
| 2 | 316, 344, 391, 218, 300 |
| 2 | 158, 172, 391, 109, 150 |
| 79, 86, 391, 109, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 79 x 86 x 391 x 109 x 75 = 173732091600
Therefore, the lowest common multiple of 632,688,782,436,600 is 173732091600.
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.
632 x 688 x 782 x 436 x 600 = 88950830899200
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
782 : 1, 2, 17, 23, 34, 46, 391, 782
436 : 1, 2, 4, 109, 218, 436
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,688,782,436,600, is 2.
Now, the common factors can be found like this.
632:2x 2x 2x 79
688:2x 2x 2x 2x 43
782:2x 17x 23
436:2x 2x 109
600:2x 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 2x 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 88950830899200/(2x256)
LCM = 88950830899200/512
LCM = 173732091600
Thus, we can understand that the LCM of 632,688,782,436,600 is 173732091600.
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FAQs on LCM of 632, 688, 782, 436, 600
1. What is the LCM of 632, 688, 782, 436, 600?
Answer: LCM of 632, 688, 782, 436, 600 is 173732091600.
2. How to calculate the LCM of 632, 688, 782, 436, 600?
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 632, 688, 782, 436, 600.
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}.