Find the LCM of 688, 363, 710, 460, 132 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 688, 363, 710, 460, 132. So, keep reading to learn more.
Given numbers are 688,363,710,460,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,363,710,460,132 is 2039159760.
Find LCM of 688,363,710,460,132 with Prime Factorization
2 | 688, 363, 710, 460, 132 |
2 | 344, 363, 355, 230, 66 |
3 | 172, 363, 355, 115, 33 |
5 | 172, 121, 355, 115, 11 |
11 | 172, 121, 71, 23, 11 |
172, 1, 71, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 172 x 1 x 71 x 23 x 11 = 2039159760
Therefore, the lowest common multiple of 688,363,710,460,132 is 2039159760.
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.
688 x 363 x 710 x 460 x 132 = 10766763532800
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
363 : 1, 3, 11, 33, 121, 363
710 : 1, 2, 5, 10, 71, 142, 355, 710
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,363,710,460,132, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
363:3x 11x 11
710:2x 5x 71
460:2x 2x 5x 23
132:2x 2x 3x 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 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 10766763532800/(1x5280)
LCM = 10766763532800/5280
LCM = 2039159760
Thus, we can understand that the LCM of 688,363,710,460,132 is 2039159760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 363, 710, 460, 132?
Answer: LCM of 688, 363, 710, 460, 132 is 2039159760.
2. How to calculate the LCM of 688, 363, 710, 460, 132?
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 688, 363, 710, 460, 132.
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}.