LCM of 690, 782, 952, 506, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 782, 952, 506, 175 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 690, 782, 952, 506, 175. So, keep reading to learn more.
Given numbers are 690,782,952,506,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,782,952,506,175 is 18064200.
Find LCM of 690,782,952,506,175 with Prime Factorization
| 2 | 690, 782, 952, 506, 175 |
| 5 | 345, 391, 476, 253, 175 |
| 7 | 69, 391, 476, 253, 35 |
| 17 | 69, 391, 68, 253, 5 |
| 23 | 69, 23, 4, 253, 5 |
| 3, 1, 4, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 23 x 3 x 1 x 4 x 11 x 5 = 18064200
Therefore, the lowest common multiple of 690,782,952,506,175 is 18064200.
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.
690 x 782 x 952 x 506 x 175 = 45486378168000
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
782 : 1, 2, 17, 23, 34, 46, 391, 782
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
506 : 1, 2, 11, 22, 23, 46, 253, 506
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,782,952,506,175, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
782:2x 17x 23
952:2x 2x 2x 7x 17
506:2x 11x 23
175:5x 5x 7
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 5x 7x 17x 23x 23 = 2518040
Therefore, the value for common factors is 2518040.
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 = 45486378168000/(1x2518040)
LCM = 45486378168000/2518040
LCM = 18064200
Thus, we can understand that the LCM of 690,782,952,506,175 is 18064200.
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FAQs on LCM of 690, 782, 952, 506, 175
1. What is the LCM of 690, 782, 952, 506, 175?
Answer: LCM of 690, 782, 952, 506, 175 is 18064200.
2. How to calculate the LCM of 690, 782, 952, 506, 175?
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 690, 782, 952, 506, 175.
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}.