Find the LCM of 435, 544, 319, 493, 707 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 435, 544, 319, 493, 707. So, keep reading to learn more.
Given numbers are 435,544,319,493,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,544,319,493,707 is 1840349280.
Find LCM of 435,544,319,493,707 with Prime Factorization
17 | 435, 544, 319, 493, 707 |
29 | 435, 32, 319, 29, 707 |
15, 32, 11, 1, 707 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 15 x 32 x 11 x 1 x 707 = 1840349280
Therefore, the lowest common multiple of 435,544,319,493,707 is 1840349280.
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.
435 x 544 x 319 x 493 x 707 = 26311473656160
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
319 : 1, 11, 29, 319
493 : 1, 17, 29, 493
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,544,319,493,707, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
544:2x 2x 2x 2x 2x 17
319:11x 29
493:17x 29
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29x 29 = 14297
Therefore, the value for common factors is 14297.
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 = 26311473656160/(1x14297)
LCM = 26311473656160/14297
LCM = 1840349280
Thus, we can understand that the LCM of 435,544,319,493,707 is 1840349280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 544, 319, 493, 707?
Answer: LCM of 435, 544, 319, 493, 707 is 1840349280.
2. How to calculate the LCM of 435, 544, 319, 493, 707?
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 435, 544, 319, 493, 707.
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}.