LCM of 705, 400, 117, 780, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 400, 117, 780, 364 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 705, 400, 117, 780, 364. So, keep reading to learn more.
Given numbers are 705,400,117,780,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,400,117,780,364 is 15397200.
Find LCM of 705,400,117,780,364 with Prime Factorization
| 2 | 705, 400, 117, 780, 364 |
| 2 | 705, 200, 117, 390, 182 |
| 3 | 705, 100, 117, 195, 91 |
| 5 | 235, 100, 39, 65, 91 |
| 13 | 47, 20, 39, 13, 91 |
| 47, 20, 3, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 47 x 20 x 3 x 1 x 7 = 15397200
Therefore, the lowest common multiple of 705,400,117,780,364 is 15397200.
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.
705 x 400 x 117 x 780 x 364 = 9367656480000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
117 : 1, 3, 9, 13, 39, 117
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,400,117,780,364, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
400:2x 2x 2x 2x 5x 5
117:3x 3x 13
780:2x 2x 3x 5x 13
364:2x 2x 7x 13
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 3x 5x 5x 13x 13 = 608400
Therefore, the value for common factors is 608400.
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 = 9367656480000/(1x608400)
LCM = 9367656480000/608400
LCM = 15397200
Thus, we can understand that the LCM of 705,400,117,780,364 is 15397200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 400, 117, 780, 364
1. What is the LCM of 705, 400, 117, 780, 364?
Answer: LCM of 705, 400, 117, 780, 364 is 15397200.
2. How to calculate the LCM of 705, 400, 117, 780, 364?
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 705, 400, 117, 780, 364.
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}.