Find the LCM of 708, 955, 504, 312, 604 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 708, 955, 504, 312, 604. So, keep reading to learn more.
Given numbers are 708,955,504,312,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,955,504,312,604 is 55745038440.
Find LCM of 708,955,504,312,604 with Prime Factorization
2 | 708, 955, 504, 312, 604 |
2 | 354, 955, 252, 156, 302 |
2 | 177, 955, 126, 78, 151 |
3 | 177, 955, 63, 39, 151 |
59, 955, 21, 13, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 59 x 955 x 21 x 13 x 151 = 55745038440
Therefore, the lowest common multiple of 708,955,504,312,604 is 55745038440.
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.
708 x 955 x 504 x 312 x 604 = 64218284282880
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
955 : 1, 5, 191, 955
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,955,504,312,604, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
955:5x 191
504:2x 2x 2x 3x 3x 7
312:2x 2x 2x 3x 13
604:2x 2x 151
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 3 = 1152
Therefore, the value for common factors is 1152.
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 = 64218284282880/(1x1152)
LCM = 64218284282880/1152
LCM = 55745038440
Thus, we can understand that the LCM of 708,955,504,312,604 is 55745038440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 955, 504, 312, 604?
Answer: LCM of 708, 955, 504, 312, 604 is 55745038440.
2. How to calculate the LCM of 708, 955, 504, 312, 604?
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 708, 955, 504, 312, 604.
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}.