LCM of 424, 782, 759, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 782, 759, 456 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 424, 782, 759, 456. So, keep reading to learn more.
Given numbers are 424,782,759,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,782,759,456 is 103946568.
Find LCM of 424,782,759,456 with Prime Factorization
| 2 | 424, 782, 759, 456 |
| 2 | 212, 391, 759, 228 |
| 2 | 106, 391, 759, 114 |
| 3 | 53, 391, 759, 57 |
| 23 | 53, 391, 253, 19 |
| 53, 17, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 53 x 17 x 11 x 19 = 103946568
Therefore, the lowest common multiple of 424,782,759,456 is 103946568.
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.
424 x 782 x 759 x 456 = 114757011072
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
782 : 1, 2, 17, 23, 34, 46, 391, 782
759 : 1, 3, 11, 23, 33, 69, 253, 759
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,782,759,456, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
782:2x 17x 23
759:3x 11x 23
456:2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 114757011072/(1x1104)
LCM = 114757011072/1104
LCM = 103946568
Thus, we can understand that the LCM of 424,782,759,456 is 103946568.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 424, 782, 759, 456
1. What is the LCM of 424, 782, 759, 456?
Answer: LCM of 424, 782, 759, 456 is 103946568.
2. How to calculate the LCM of 424, 782, 759, 456?
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 424, 782, 759, 456.
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}.