LCM of 979, 533, 406, 377, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 533, 406, 377, 473 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 979, 533, 406, 377, 473. So, keep reading to learn more.
Given numbers are 979,533,406,377,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,533,406,377,473 is 9109706606.
Find LCM of 979,533,406,377,473 with Prime Factorization
| 11 | 979, 533, 406, 377, 473 |
| 13 | 89, 533, 406, 377, 43 |
| 29 | 89, 41, 406, 29, 43 |
| 89, 41, 14, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 29 x 89 x 41 x 14 x 1 x 43 = 9109706606
Therefore, the lowest common multiple of 979,533,406,377,473 is 9109706606.
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.
979 x 533 x 406 x 377 x 473 = 37777953295082
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.
979 : 1, 11, 89, 979
533 : 1, 13, 41, 533
406 : 1, 2, 7, 14, 29, 58, 203, 406
377 : 1, 13, 29, 377
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,533,406,377,473, is 1.
Now, the common factors can be found like this.
979:11x 89
533:13x 41
406:2x 7x 29
377:13x 29
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 29 = 4147
Therefore, the value for common factors is 4147.
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 = 37777953295082/(1x4147)
LCM = 37777953295082/4147
LCM = 9109706606
Thus, we can understand that the LCM of 979,533,406,377,473 is 9109706606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 533, 406, 377, 473
1. What is the LCM of 979, 533, 406, 377, 473?
Answer: LCM of 979, 533, 406, 377, 473 is 9109706606.
2. How to calculate the LCM of 979, 533, 406, 377, 473?
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 979, 533, 406, 377, 473.
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}.