Find the LCM of 525, 117, 916, 690, 723 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 525, 117, 916, 690, 723. So, keep reading to learn more.
Given numbers are 525,117,916,690,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,117,916,690,723 is 103959519300.
Find LCM of 525,117,916,690,723 with Prime Factorization
2 | 525, 117, 916, 690, 723 |
3 | 525, 117, 458, 345, 723 |
5 | 175, 39, 458, 115, 241 |
35, 39, 458, 23, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 35 x 39 x 458 x 23 x 241 = 103959519300
Therefore, the lowest common multiple of 525,117,916,690,723 is 103959519300.
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.
525 x 117 x 916 x 690 x 723 = 28069070211000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
117 : 1, 3, 9, 13, 39, 117
916 : 1, 2, 4, 229, 458, 916
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,117,916,690,723, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
117:3x 3x 13
916:2x 2x 229
690:2x 3x 5x 23
723:3x 241
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 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 28069070211000/(1x270)
LCM = 28069070211000/270
LCM = 103959519300
Thus, we can understand that the LCM of 525,117,916,690,723 is 103959519300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 525, 117, 916, 690, 723?
Answer: LCM of 525, 117, 916, 690, 723 is 103959519300.
2. How to calculate the LCM of 525, 117, 916, 690, 723?
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 525, 117, 916, 690, 723.
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}.