LCM of 158, 473, 946, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 473, 946, 613 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 158, 473, 946, 613. So, keep reading to learn more.
Given numbers are 158,473,946,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,473,946,613 is 45811942.
Find LCM of 158,473,946,613 with Prime Factorization
| 2 | 158, 473, 946, 613 |
| 11 | 79, 473, 473, 613 |
| 43 | 79, 43, 43, 613 |
| 79, 1, 1, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 79 x 1 x 1 x 613 = 45811942
Therefore, the lowest common multiple of 158,473,946,613 is 45811942.
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.
158 x 473 x 946 x 613 = 43338097132
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.
158 : 1, 2, 79, 158
473 : 1, 11, 43, 473
946 : 1, 2, 11, 22, 43, 86, 473, 946
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,473,946,613, is 1.
Now, the common factors can be found like this.
158:2x 79
473:11x 43
946:2x 11x 43
613:613
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 43338097132/(1x946)
LCM = 43338097132/946
LCM = 45811942
Thus, we can understand that the LCM of 158,473,946,613 is 45811942.
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FAQs on LCM of 158, 473, 946, 613
1. What is the LCM of 158, 473, 946, 613?
Answer: LCM of 158, 473, 946, 613 is 45811942.
2. How to calculate the LCM of 158, 473, 946, 613?
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 158, 473, 946, 613.
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}.