Find the LCM of 708, 980, 143, 143, 952 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, 980, 143, 143, 952. So, keep reading to learn more.
Given numbers are 708,980,143,143,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,980,143,143,952 is 843362520.
Find LCM of 708,980,143,143,952 with Prime Factorization
2 | 708, 980, 143, 143, 952 |
2 | 354, 490, 143, 143, 476 |
7 | 177, 245, 143, 143, 238 |
11 | 177, 35, 143, 143, 34 |
13 | 177, 35, 13, 13, 34 |
177, 35, 1, 1, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 13 x 177 x 35 x 1 x 1 x 34 = 843362520
Therefore, the lowest common multiple of 708,980,143,143,952 is 843362520.
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 980 x 143 x 143 x 952 = 13507294120320
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
143 : 1, 11, 13, 143
143 : 1, 11, 13, 143
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,980,143,143,952, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
980:2x 2x 5x 7x 7
143:11x 13
143:11x 13
952:2x 2x 2x 7x 17
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 7x 11x 13 = 16016
Therefore, the value for common factors is 16016.
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 = 13507294120320/(1x16016)
LCM = 13507294120320/16016
LCM = 843362520
Thus, we can understand that the LCM of 708,980,143,143,952 is 843362520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 980, 143, 143, 952?
Answer: LCM of 708, 980, 143, 143, 952 is 843362520.
2. How to calculate the LCM of 708, 980, 143, 143, 952?
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, 980, 143, 143, 952.
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}.