LCM of 709, 532, 915, 234, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 532, 915, 234, 668 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, 532, 915, 234, 668. So, keep reading to learn more.
Given numbers are 709,532,915,234,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,532,915,234,668 is 2247812281260.
Find LCM of 709,532,915,234,668 with Prime Factorization
| 2 | 709, 532, 915, 234, 668 |
| 2 | 709, 266, 915, 117, 334 |
| 3 | 709, 133, 915, 117, 167 |
| 709, 133, 305, 39, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 709 x 133 x 305 x 39 x 167 = 2247812281260
Therefore, the lowest common multiple of 709,532,915,234,668 is 2247812281260.
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 532 x 915 x 234 x 668 = 53947494750240
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
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
915 : 1, 3, 5, 15, 61, 183, 305, 915
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,532,915,234,668, is 1.
Now, the common factors can be found like this.
709:709
532:2x 2x 7x 19
915:3x 5x 61
234:2x 3x 3x 13
668:2x 2x 167
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 3 = 24
Therefore, the value for common factors is 24.
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 = 53947494750240/(1x24)
LCM = 53947494750240/24
LCM = 2247812281260
Thus, we can understand that the LCM of 709,532,915,234,668 is 2247812281260.
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FAQs on LCM of 709, 532, 915, 234, 668
1. What is the LCM of 709, 532, 915, 234, 668?
Answer: LCM of 709, 532, 915, 234, 668 is 2247812281260.
2. How to calculate the LCM of 709, 532, 915, 234, 668?
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, 532, 915, 234, 668.
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}.