LCM of 759, 468, 358, 611, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 468, 358, 611, 403 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 759, 468, 358, 611, 403. So, keep reading to learn more.
Given numbers are 759,468,358,611,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,468,358,611,403 is 30880118412.
Find LCM of 759,468,358,611,403 with Prime Factorization
| 2 | 759, 468, 358, 611, 403 |
| 3 | 759, 234, 179, 611, 403 |
| 13 | 253, 78, 179, 611, 403 |
| 253, 6, 179, 47, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 253 x 6 x 179 x 47 x 31 = 30880118412
Therefore, the lowest common multiple of 759,468,358,611,403 is 30880118412.
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.
759 x 468 x 358 x 611 x 403 = 31312440069768
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
358 : 1, 2, 179, 358
611 : 1, 13, 47, 611
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,468,358,611,403, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
468:2x 2x 3x 3x 13
358:2x 179
611:13x 47
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 31312440069768/(1x1014)
LCM = 31312440069768/1014
LCM = 30880118412
Thus, we can understand that the LCM of 759,468,358,611,403 is 30880118412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 759, 468, 358, 611, 403
1. What is the LCM of 759, 468, 358, 611, 403?
Answer: LCM of 759, 468, 358, 611, 403 is 30880118412.
2. How to calculate the LCM of 759, 468, 358, 611, 403?
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 759, 468, 358, 611, 403.
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}.