Find the LCM of 598, 632, 828, 688, 692 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, 632, 828, 688, 692. So, keep reading to learn more.
Given numbers are 598,632,828,688,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,632,828,688,692 is 25303193136.
Find LCM of 598,632,828,688,692 with Prime Factorization
2 | 598, 632, 828, 688, 692 |
2 | 299, 316, 414, 344, 346 |
2 | 299, 158, 207, 172, 173 |
23 | 299, 79, 207, 86, 173 |
13, 79, 9, 86, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 13 x 79 x 9 x 86 x 173 = 25303193136
Therefore, the lowest common multiple of 598,632,828,688,692 is 25303193136.
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 632 x 828 x 688 x 692 = 148985201184768
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
632 : 1, 2, 4, 8, 79, 158, 316, 632
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
692 : 1, 2, 4, 173, 346, 692
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,632,828,688,692, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
632:2x 2x 2x 79
828:2x 2x 3x 3x 23
688:2x 2x 2x 2x 43
692:2x 2x 173
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 23 = 2944
Therefore, the value for common factors is 2944.
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 = 148985201184768/(2x2944)
LCM = 148985201184768/5888
LCM = 25303193136
Thus, we can understand that the LCM of 598,632,828,688,692 is 25303193136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 632, 828, 688, 692?
Answer: LCM of 598, 632, 828, 688, 692 is 25303193136.
2. How to calculate the LCM of 598, 632, 828, 688, 692?
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, 632, 828, 688, 692.
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}.