LCM of 236, 748, 895, 660, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 748, 895, 660, 101 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 236, 748, 895, 660, 101. So, keep reading to learn more.
Given numbers are 236,748,895,660,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,748,895,660,101 is 11967936420.
Find LCM of 236,748,895,660,101 with Prime Factorization
| 2 | 236, 748, 895, 660, 101 |
| 2 | 118, 374, 895, 330, 101 |
| 5 | 59, 187, 895, 165, 101 |
| 11 | 59, 187, 179, 33, 101 |
| 59, 17, 179, 3, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 59 x 17 x 179 x 3 x 101 = 11967936420
Therefore, the lowest common multiple of 236,748,895,660,101 is 11967936420.
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.
236 x 748 x 895 x 660 x 101 = 10531784049600
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.
236 : 1, 2, 4, 59, 118, 236
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
895 : 1, 5, 179, 895
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,748,895,660,101, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
748:2x 2x 11x 17
895:5x 179
660:2x 2x 3x 5x 11
101:101
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 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 10531784049600/(1x880)
LCM = 10531784049600/880
LCM = 11967936420
Thus, we can understand that the LCM of 236,748,895,660,101 is 11967936420.
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FAQs on LCM of 236, 748, 895, 660, 101
1. What is the LCM of 236, 748, 895, 660, 101?
Answer: LCM of 236, 748, 895, 660, 101 is 11967936420.
2. How to calculate the LCM of 236, 748, 895, 660, 101?
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 236, 748, 895, 660, 101.
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}.