Find the LCM of 203, 528, 377, 689, 767 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 203, 528, 377, 689, 767. So, keep reading to learn more.
Given numbers are 203,528,377,689,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,528,377,689,767 is 4357136784.
Find LCM of 203,528,377,689,767 with Prime Factorization
13 | 203, 528, 377, 689, 767 |
29 | 203, 528, 29, 53, 59 |
7, 528, 1, 53, 59 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 7 x 528 x 1 x 53 x 59 = 4357136784
Therefore, the lowest common multiple of 203,528,377,689,767 is 4357136784.
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.
203 x 528 x 377 x 689 x 767 = 21354327378384
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.
203 : 1, 7, 29, 203
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
377 : 1, 13, 29, 377
689 : 1, 13, 53, 689
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,528,377,689,767, is 1.
Now, the common factors can be found like this.
203:7x 29
528:2x 2x 2x 2x 3x 11
377:13x 29
689:13x 53
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 29 = 4901
Therefore, the value for common factors is 4901.
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 = 21354327378384/(1x4901)
LCM = 21354327378384/4901
LCM = 4357136784
Thus, we can understand that the LCM of 203,528,377,689,767 is 4357136784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 528, 377, 689, 767?
Answer: LCM of 203, 528, 377, 689, 767 is 4357136784.
2. How to calculate the LCM of 203, 528, 377, 689, 767?
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 203, 528, 377, 689, 767.
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}.