LCM of 236, 506, 759, 295, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 506, 759, 295, 763 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 236, 506, 759, 295, 763. So, keep reading to learn more.
Given numbers are 236,506,759,295,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,506,759,295,763 is 683358060.
Find LCM of 236,506,759,295,763 with Prime Factorization
| 2 | 236, 506, 759, 295, 763 |
| 11 | 118, 253, 759, 295, 763 |
| 23 | 118, 23, 69, 295, 763 |
| 59 | 118, 1, 3, 295, 763 |
| 2, 1, 3, 5, 763 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 59 x 2 x 1 x 3 x 5 x 763 = 683358060
Therefore, the lowest common multiple of 236,506,759,295,763 is 683358060.
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.
236 x 506 x 759 x 295 x 763 = 20400971523240
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.
236 : 1, 2, 4, 59, 118, 236
506 : 1, 2, 11, 22, 23, 46, 253, 506
759 : 1, 3, 11, 23, 33, 69, 253, 759
295 : 1, 5, 59, 295
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,506,759,295,763, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
506:2x 11x 23
759:3x 11x 23
295:5x 59
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23x 59 = 29854
Therefore, the value for common factors is 29854.
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 = 20400971523240/(1x29854)
LCM = 20400971523240/29854
LCM = 683358060
Thus, we can understand that the LCM of 236,506,759,295,763 is 683358060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 236, 506, 759, 295, 763
1. What is the LCM of 236, 506, 759, 295, 763?
Answer: LCM of 236, 506, 759, 295, 763 is 683358060.
2. How to calculate the LCM of 236, 506, 759, 295, 763?
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 236, 506, 759, 295, 763.
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}.