LCM of 709, 435, 756, 189, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 709, 435, 756, 189, 770 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, 435, 756, 189, 770. So, keep reading to learn more.
Given numbers are 709,435,756,189,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,435,756,189,770 is 854926380.
Find LCM of 709,435,756,189,770 with Prime Factorization
| 2 | 709, 435, 756, 189, 770 |
| 3 | 709, 435, 378, 189, 385 |
| 3 | 709, 145, 126, 63, 385 |
| 3 | 709, 145, 42, 21, 385 |
| 5 | 709, 145, 14, 7, 385 |
| 7 | 709, 29, 14, 7, 77 |
| 709, 29, 2, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 709 x 29 x 2 x 1 x 11 = 854926380
Therefore, the lowest common multiple of 709,435,756,189,770 is 854926380.
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 435 x 756 x 189 x 770 = 33932028022200
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
189 : 1, 3, 7, 9, 21, 27, 63, 189
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,435,756,189,770, is 1.
Now, the common factors can be found like this.
709:709
435:3x 5x 29
756:2x 2x 3x 3x 3x 7
189:3x 3x 3x 7
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 7x 7 = 39690
Therefore, the value for common factors is 39690.
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 = 33932028022200/(1x39690)
LCM = 33932028022200/39690
LCM = 854926380
Thus, we can understand that the LCM of 709,435,756,189,770 is 854926380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 709, 435, 756, 189, 770
1. What is the LCM of 709, 435, 756, 189, 770?
Answer: LCM of 709, 435, 756, 189, 770 is 854926380.
2. How to calculate the LCM of 709, 435, 756, 189, 770?
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, 435, 756, 189, 770.
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}.