LCM of 716, 894, 690, 704, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 894, 690, 704, 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 716, 894, 690, 704, 473. So, keep reading to learn more.
Given numbers are 716,894,690,704,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,894,690,704,473 is 278547656640.
Find LCM of 716,894,690,704,473 with Prime Factorization
| 2 | 716, 894, 690, 704, 473 |
| 2 | 358, 447, 345, 352, 473 |
| 3 | 179, 447, 345, 176, 473 |
| 11 | 179, 149, 115, 176, 473 |
| 179, 149, 115, 16, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 179 x 149 x 115 x 16 x 43 = 278547656640
Therefore, the lowest common multiple of 716,894,690,704,473 is 278547656640.
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.
716 x 894 x 690 x 704 x 473 = 147073162705920
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.
716 : 1, 2, 4, 179, 358, 716
894 : 1, 2, 3, 6, 149, 298, 447, 894
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,894,690,704,473, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
894:2x 3x 149
690:2x 3x 5x 23
704:2x 2x 2x 2x 2x 2x 11
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.
2x 2x 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 147073162705920/(1x528)
LCM = 147073162705920/528
LCM = 278547656640
Thus, we can understand that the LCM of 716,894,690,704,473 is 278547656640.
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FAQs on LCM of 716, 894, 690, 704, 473
1. What is the LCM of 716, 894, 690, 704, 473?
Answer: LCM of 716, 894, 690, 704, 473 is 278547656640.
2. How to calculate the LCM of 716, 894, 690, 704, 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 716, 894, 690, 704, 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}.