LCM of 143, 730, 803, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 730, 803, 957 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 143, 730, 803, 957. So, keep reading to learn more.
Given numbers are 143,730,803,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,730,803,957 is 9081930.
Find LCM of 143,730,803,957 with Prime Factorization
| 11 | 143, 730, 803, 957 |
| 73 | 13, 730, 73, 87 |
| 13, 10, 1, 87 |
Multiply the prime numbers at the bottom and the left side.
11 x 73 x 13 x 10 x 1 x 87 = 9081930
Therefore, the lowest common multiple of 143,730,803,957 is 9081930.
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.
143 x 730 x 803 x 957 = 80220687690
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.
143 : 1, 11, 13, 143
730 : 1, 2, 5, 10, 73, 146, 365, 730
803 : 1, 11, 73, 803
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,730,803,957, is 1.
Now, the common factors can be found like this.
143:11x 13
730:2x 5x 73
803:11x 73
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 73 = 8833
Therefore, the value for common factors is 8833.
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 = 80220687690/(1x8833)
LCM = 80220687690/8833
LCM = 9081930
Thus, we can understand that the LCM of 143,730,803,957 is 9081930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 730, 803, 957
1. What is the LCM of 143, 730, 803, 957?
Answer: LCM of 143, 730, 803, 957 is 9081930.
2. How to calculate the LCM of 143, 730, 803, 957?
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 143, 730, 803, 957.
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}.