LCM of 652, 754, 537, 870, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 754, 537, 870, 117 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 652, 754, 537, 870, 117. So, keep reading to learn more.
Given numbers are 652,754,537,870,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,754,537,870,117 is 1979951220.
Find LCM of 652,754,537,870,117 with Prime Factorization
| 2 | 652, 754, 537, 870, 117 |
| 3 | 326, 377, 537, 435, 117 |
| 13 | 326, 377, 179, 145, 39 |
| 29 | 326, 29, 179, 145, 3 |
| 326, 1, 179, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 326 x 1 x 179 x 5 x 3 = 1979951220
Therefore, the lowest common multiple of 652,754,537,870,117 is 1979951220.
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.
652 x 754 x 537 x 870 x 117 = 26871897957840
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.
652 : 1, 2, 4, 163, 326, 652
754 : 1, 2, 13, 26, 29, 58, 377, 754
537 : 1, 3, 179, 537
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,754,537,870,117, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
754:2x 13x 29
537:3x 179
870:2x 3x 5x 29
117:3x 3x 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 3x 3x 13x 29 = 13572
Therefore, the value for common factors is 13572.
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 = 26871897957840/(1x13572)
LCM = 26871897957840/13572
LCM = 1979951220
Thus, we can understand that the LCM of 652,754,537,870,117 is 1979951220.
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FAQs on LCM of 652, 754, 537, 870, 117
1. What is the LCM of 652, 754, 537, 870, 117?
Answer: LCM of 652, 754, 537, 870, 117 is 1979951220.
2. How to calculate the LCM of 652, 754, 537, 870, 117?
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 652, 754, 537, 870, 117.
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}.