Find the LCM of 779, 669, 319, 720, 619 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 779, 669, 319, 720, 619. So, keep reading to learn more.
Given numbers are 779,669,319,720,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,669,319,720,619 is 24697679426640.
Find LCM of 779,669,319,720,619 with Prime Factorization
3 | 779, 669, 319, 720, 619 |
779, 223, 319, 240, 619 |
Multiply the prime numbers at the bottom and the left side.
3 x 779 x 223 x 319 x 240 x 619 = 24697679426640
Therefore, the lowest common multiple of 779,669,319,720,619 is 24697679426640.
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.
779 x 669 x 319 x 720 x 619 = 74093038279920
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.
779 : 1, 19, 41, 779
669 : 1, 3, 223, 669
319 : 1, 11, 29, 319
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,669,319,720,619, is 1.
Now, the common factors can be found like this.
779:19x 41
669:3x 223
319:11x 29
720:2x 2x 2x 2x 3x 3x 5
619:619
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 74093038279920/(1x3)
LCM = 74093038279920/3
LCM = 24697679426640
Thus, we can understand that the LCM of 779,669,319,720,619 is 24697679426640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 669, 319, 720, 619?
Answer: LCM of 779, 669, 319, 720, 619 is 24697679426640.
2. How to calculate the LCM of 779, 669, 319, 720, 619?
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 779, 669, 319, 720, 619.
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}.