LCM of 700, 245, 578, 206, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 245, 578, 206, 901 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 700, 245, 578, 206, 901. So, keep reading to learn more.
Given numbers are 700,245,578,206,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,245,578,206,901 is 7730489900.
Find LCM of 700,245,578,206,901 with Prime Factorization
| 2 | 700, 245, 578, 206, 901 |
| 5 | 350, 245, 289, 103, 901 |
| 7 | 70, 49, 289, 103, 901 |
| 17 | 10, 7, 289, 103, 901 |
| 10, 7, 17, 103, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 10 x 7 x 17 x 103 x 53 = 7730489900
Therefore, the lowest common multiple of 700,245,578,206,901 is 7730489900.
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.
700 x 245 x 578 x 206 x 901 = 18398565962000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
245 : 1, 5, 7, 35, 49, 245
578 : 1, 2, 17, 34, 289, 578
206 : 1, 2, 103, 206
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,245,578,206,901, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
245:5x 7x 7
578:2x 17x 17
206:2x 103
901:17x 53
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 17 = 2380
Therefore, the value for common factors is 2380.
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 = 18398565962000/(1x2380)
LCM = 18398565962000/2380
LCM = 7730489900
Thus, we can understand that the LCM of 700,245,578,206,901 is 7730489900.
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FAQs on LCM of 700, 245, 578, 206, 901
1. What is the LCM of 700, 245, 578, 206, 901?
Answer: LCM of 700, 245, 578, 206, 901 is 7730489900.
2. How to calculate the LCM of 700, 245, 578, 206, 901?
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 700, 245, 578, 206, 901.
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}.