LCM of 224, 716, 651, 665, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 716, 651, 665, 637 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 224, 716, 651, 665, 637. So, keep reading to learn more.
Given numbers are 224,716,651,665,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,716,651,665,637 is 32236582560.
Find LCM of 224,716,651,665,637 with Prime Factorization
| 2 | 224, 716, 651, 665, 637 |
| 2 | 112, 358, 651, 665, 637 |
| 7 | 56, 179, 651, 665, 637 |
| 8, 179, 93, 95, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 8 x 179 x 93 x 95 x 91 = 32236582560
Therefore, the lowest common multiple of 224,716,651,665,637 is 32236582560.
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.
224 x 716 x 651 x 665 x 637 = 44228591272320
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
716 : 1, 2, 4, 179, 358, 716
651 : 1, 3, 7, 21, 31, 93, 217, 651
665 : 1, 5, 7, 19, 35, 95, 133, 665
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,716,651,665,637, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
716:2x 2x 179
651:3x 7x 31
665:5x 7x 19
637:7x 7x 13
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 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 44228591272320/(1x1372)
LCM = 44228591272320/1372
LCM = 32236582560
Thus, we can understand that the LCM of 224,716,651,665,637 is 32236582560.
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FAQs on LCM of 224, 716, 651, 665, 637
1. What is the LCM of 224, 716, 651, 665, 637?
Answer: LCM of 224, 716, 651, 665, 637 is 32236582560.
2. How to calculate the LCM of 224, 716, 651, 665, 637?
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 224, 716, 651, 665, 637.
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}.