LCM of 251, 715, 975, 700, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 715, 975, 700, 724 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 251, 715, 975, 700, 724. So, keep reading to learn more.
Given numbers are 251,715,975,700,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,715,975,700,724 is 13642929300.
Find LCM of 251,715,975,700,724 with Prime Factorization
| 2 | 251, 715, 975, 700, 724 |
| 2 | 251, 715, 975, 350, 362 |
| 5 | 251, 715, 975, 175, 181 |
| 5 | 251, 143, 195, 35, 181 |
| 13 | 251, 143, 39, 7, 181 |
| 251, 11, 3, 7, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 13 x 251 x 11 x 3 x 7 x 181 = 13642929300
Therefore, the lowest common multiple of 251,715,975,700,724 is 13642929300.
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.
251 x 715 x 975 x 700 x 724 = 88679040450000
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.
251 : 1, 251
715 : 1, 5, 11, 13, 55, 65, 143, 715
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,715,975,700,724, is 1.
Now, the common factors can be found like this.
251:251
715:5x 11x 13
975:3x 5x 5x 13
700:2x 2x 5x 5x 7
724:2x 2x 181
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 5x 5x 13 = 6500
Therefore, the value for common factors is 6500.
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 = 88679040450000/(1x6500)
LCM = 88679040450000/6500
LCM = 13642929300
Thus, we can understand that the LCM of 251,715,975,700,724 is 13642929300.
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FAQs on LCM of 251, 715, 975, 700, 724
1. What is the LCM of 251, 715, 975, 700, 724?
Answer: LCM of 251, 715, 975, 700, 724 is 13642929300.
2. How to calculate the LCM of 251, 715, 975, 700, 724?
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 251, 715, 975, 700, 724.
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}.