LCM of 709, 354, 567, 785, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 354, 567, 785, 495 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 709, 354, 567, 785, 495. So, keep reading to learn more.
Given numbers are 709,354,567,785,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,354,567,785,495 is 409612916790.
Find LCM of 709,354,567,785,495 with Prime Factorization
| 3 | 709, 354, 567, 785, 495 |
| 3 | 709, 118, 189, 785, 165 |
| 5 | 709, 118, 63, 785, 55 |
| 709, 118, 63, 157, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 709 x 118 x 63 x 157 x 11 = 409612916790
Therefore, the lowest common multiple of 709,354,567,785,495 is 409612916790.
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.
709 x 354 x 567 x 785 x 495 = 55297743766650
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.
709 : 1, 709
354 : 1, 2, 3, 6, 59, 118, 177, 354
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
785 : 1, 5, 157, 785
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,354,567,785,495, is 1.
Now, the common factors can be found like this.
709:709
354:2x 3x 59
567:3x 3x 3x 3x 7
785:5x 157
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 55297743766650/(1x135)
LCM = 55297743766650/135
LCM = 409612916790
Thus, we can understand that the LCM of 709,354,567,785,495 is 409612916790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 354, 567, 785, 495
1. What is the LCM of 709, 354, 567, 785, 495?
Answer: LCM of 709, 354, 567, 785, 495 is 409612916790.
2. How to calculate the LCM of 709, 354, 567, 785, 495?
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 709, 354, 567, 785, 495.
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}.