LCM of 300, 802, 642, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 802, 642, 708 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 300, 802, 642, 708. So, keep reading to learn more.
Given numbers are 300,802,642,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,802,642,708 is 759453900.
Find LCM of 300,802,642,708 with Prime Factorization
| 2 | 300, 802, 642, 708 |
| 2 | 150, 401, 321, 354 |
| 3 | 75, 401, 321, 177 |
| 25, 401, 107, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 25 x 401 x 107 x 59 = 759453900
Therefore, the lowest common multiple of 300,802,642,708 is 759453900.
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.
300 x 802 x 642 x 708 = 109361361600
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
802 : 1, 2, 401, 802
642 : 1, 2, 3, 6, 107, 214, 321, 642
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,802,642,708, is 2.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
802:2x 401
642:2x 3x 107
708:2x 2x 3x 59
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 3 = 72
Therefore, the value for common factors is 72.
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 = 109361361600/(2x72)
LCM = 109361361600/144
LCM = 759453900
Thus, we can understand that the LCM of 300,802,642,708 is 759453900.
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FAQs on LCM of 300, 802, 642, 708
1. What is the LCM of 300, 802, 642, 708?
Answer: LCM of 300, 802, 642, 708 is 759453900.
2. How to calculate the LCM of 300, 802, 642, 708?
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 300, 802, 642, 708.
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}.