Find the LCM of 140, 535, 407, 517, 616 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 140, 535, 407, 517, 616. So, keep reading to learn more.
Given numbers are 140,535,407,517,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,535,407,517,616 is 573104840.
Find LCM of 140,535,407,517,616 with Prime Factorization
2 | 140, 535, 407, 517, 616 |
2 | 70, 535, 407, 517, 308 |
5 | 35, 535, 407, 517, 154 |
7 | 7, 107, 407, 517, 154 |
11 | 1, 107, 407, 517, 22 |
1, 107, 37, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 1 x 107 x 37 x 47 x 2 = 573104840
Therefore, the lowest common multiple of 140,535,407,517,616 is 573104840.
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.
140 x 535 x 407 x 517 x 616 = 9708395989600
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
535 : 1, 5, 107, 535
407 : 1, 11, 37, 407
517 : 1, 11, 47, 517
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,535,407,517,616, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
535:5x 107
407:11x 37
517:11x 47
616:2x 2x 2x 7x 11
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 5x 7x 11x 11 = 16940
Therefore, the value for common factors is 16940.
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 = 9708395989600/(1x16940)
LCM = 9708395989600/16940
LCM = 573104840
Thus, we can understand that the LCM of 140,535,407,517,616 is 573104840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 535, 407, 517, 616?
Answer: LCM of 140, 535, 407, 517, 616 is 573104840.
2. How to calculate the LCM of 140, 535, 407, 517, 616?
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 140, 535, 407, 517, 616.
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}.