LCM of 157, 858, 679, 847, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 858, 679, 847, 946 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 157, 858, 679, 847, 946. So, keep reading to learn more.
Given numbers are 157,858,679,847,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,858,679,847,946 is 43263121902.
Find LCM of 157,858,679,847,946 with Prime Factorization
| 2 | 157, 858, 679, 847, 946 |
| 7 | 157, 429, 679, 847, 473 |
| 11 | 157, 429, 97, 121, 473 |
| 157, 39, 97, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 157 x 39 x 97 x 11 x 43 = 43263121902
Therefore, the lowest common multiple of 157,858,679,847,946 is 43263121902.
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.
157 x 858 x 679 x 847 x 946 = 73287728501988
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.
157 : 1, 157
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
679 : 1, 7, 97, 679
847 : 1, 7, 11, 77, 121, 847
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,858,679,847,946, is 1.
Now, the common factors can be found like this.
157:157
858:2x 3x 11x 13
679:7x 97
847:7x 11x 11
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11x 11 = 1694
Therefore, the value for common factors is 1694.
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 = 73287728501988/(1x1694)
LCM = 73287728501988/1694
LCM = 43263121902
Thus, we can understand that the LCM of 157,858,679,847,946 is 43263121902.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 858, 679, 847, 946
1. What is the LCM of 157, 858, 679, 847, 946?
Answer: LCM of 157, 858, 679, 847, 946 is 43263121902.
2. How to calculate the LCM of 157, 858, 679, 847, 946?
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 157, 858, 679, 847, 946.
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}.