LCM of 702, 876, 167, 780, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 876, 167, 780, 193 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 702, 876, 167, 780, 193. So, keep reading to learn more.
Given numbers are 702,876,167,780,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,876,167,780,193 is 16517098260.
Find LCM of 702,876,167,780,193 with Prime Factorization
| 2 | 702, 876, 167, 780, 193 |
| 2 | 351, 438, 167, 390, 193 |
| 3 | 351, 219, 167, 195, 193 |
| 13 | 117, 73, 167, 65, 193 |
| 9, 73, 167, 5, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 9 x 73 x 167 x 5 x 193 = 16517098260
Therefore, the lowest common multiple of 702,876,167,780,193 is 16517098260.
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.
702 x 876 x 167 x 780 x 193 = 15460003971360
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
167 : 1, 167
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
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,876,167,780,193, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
876:2x 2x 3x 73
167:167
780:2x 2x 3x 5x 13
193:193
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 15460003971360/(1x936)
LCM = 15460003971360/936
LCM = 16517098260
Thus, we can understand that the LCM of 702,876,167,780,193 is 16517098260.
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FAQs on LCM of 702, 876, 167, 780, 193
1. What is the LCM of 702, 876, 167, 780, 193?
Answer: LCM of 702, 876, 167, 780, 193 is 16517098260.
2. How to calculate the LCM of 702, 876, 167, 780, 193?
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 702, 876, 167, 780, 193.
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}.