LCM of 767, 705, 767, 506, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 705, 767, 506, 848 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 767, 705, 767, 506, 848. So, keep reading to learn more.
Given numbers are 767,705,767,506,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,705,767,506,848 is 116011449840.
Find LCM of 767,705,767,506,848 with Prime Factorization
| 2 | 767, 705, 767, 506, 848 |
| 13 | 767, 705, 767, 253, 424 |
| 59 | 59, 705, 59, 253, 424 |
| 1, 705, 1, 253, 424 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 59 x 1 x 705 x 1 x 253 x 424 = 116011449840
Therefore, the lowest common multiple of 767,705,767,506,848 is 116011449840.
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.
767 x 705 x 767 x 506 x 848 = 177961564054560
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.
767 : 1, 13, 59, 767
705 : 1, 3, 5, 15, 47, 141, 235, 705
767 : 1, 13, 59, 767
506 : 1, 2, 11, 22, 23, 46, 253, 506
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,705,767,506,848, is 1.
Now, the common factors can be found like this.
767:13x 59
705:3x 5x 47
767:13x 59
506:2x 11x 23
848:2x 2x 2x 2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 59 = 1534
Therefore, the value for common factors is 1534.
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 = 177961564054560/(1x1534)
LCM = 177961564054560/1534
LCM = 116011449840
Thus, we can understand that the LCM of 767,705,767,506,848 is 116011449840.
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FAQs on LCM of 767, 705, 767, 506, 848
1. What is the LCM of 767, 705, 767, 506, 848?
Answer: LCM of 767, 705, 767, 506, 848 is 116011449840.
2. How to calculate the LCM of 767, 705, 767, 506, 848?
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 767, 705, 767, 506, 848.
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}.