LCM of 870, 969, 708, 874, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 969, 708, 874, 619 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 870, 969, 708, 874, 619. So, keep reading to learn more.
Given numbers are 870,969,708,874,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,969,708,874,619 is 472087245660.
Find LCM of 870,969,708,874,619 with Prime Factorization
| 2 | 870, 969, 708, 874, 619 |
| 3 | 435, 969, 354, 437, 619 |
| 19 | 145, 323, 118, 437, 619 |
| 145, 17, 118, 23, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 145 x 17 x 118 x 23 x 619 = 472087245660
Therefore, the lowest common multiple of 870,969,708,874,619 is 472087245660.
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.
870 x 969 x 708 x 874 x 619 = 322907676031440
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
969 : 1, 3, 17, 19, 51, 57, 323, 969
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
874 : 1, 2, 19, 23, 38, 46, 437, 874
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,969,708,874,619, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
969:3x 17x 19
708:2x 2x 3x 59
874:2x 19x 23
619:619
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 19 = 684
Therefore, the value for common factors is 684.
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 = 322907676031440/(1x684)
LCM = 322907676031440/684
LCM = 472087245660
Thus, we can understand that the LCM of 870,969,708,874,619 is 472087245660.
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FAQs on LCM of 870, 969, 708, 874, 619
1. What is the LCM of 870, 969, 708, 874, 619?
Answer: LCM of 870, 969, 708, 874, 619 is 472087245660.
2. How to calculate the LCM of 870, 969, 708, 874, 619?
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 870, 969, 708, 874, 619.
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}.