LCM of 220, 791, 913, 679, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 791, 913, 679, 950 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 220, 791, 913, 679, 950. So, keep reading to learn more.
Given numbers are 220,791,913,679,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,791,913,679,950 is 133098326900.
Find LCM of 220,791,913,679,950 with Prime Factorization
| 2 | 220, 791, 913, 679, 950 |
| 5 | 110, 791, 913, 679, 475 |
| 7 | 22, 791, 913, 679, 95 |
| 11 | 22, 113, 913, 97, 95 |
| 2, 113, 83, 97, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 2 x 113 x 83 x 97 x 95 = 133098326900
Therefore, the lowest common multiple of 220,791,913,679,950 is 133098326900.
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.
220 x 791 x 913 x 679 x 950 = 102485711713000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
791 : 1, 7, 113, 791
913 : 1, 11, 83, 913
679 : 1, 7, 97, 679
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,791,913,679,950, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
791:7x 113
913:11x 83
679:7x 97
950:2x 5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11 = 770
Therefore, the value for common factors is 770.
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 = 102485711713000/(1x770)
LCM = 102485711713000/770
LCM = 133098326900
Thus, we can understand that the LCM of 220,791,913,679,950 is 133098326900.
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FAQs on LCM of 220, 791, 913, 679, 950
1. What is the LCM of 220, 791, 913, 679, 950?
Answer: LCM of 220, 791, 913, 679, 950 is 133098326900.
2. How to calculate the LCM of 220, 791, 913, 679, 950?
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 220, 791, 913, 679, 950.
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}.