LCM of 844, 354, 708, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 354, 708, 450 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 844, 354, 708, 450. So, keep reading to learn more.
Given numbers are 844,354,708,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,354,708,450 is 11204100.
Find LCM of 844,354,708,450 with Prime Factorization
| 2 | 844, 354, 708, 450 |
| 2 | 422, 177, 354, 225 |
| 3 | 211, 177, 177, 225 |
| 59 | 211, 59, 59, 75 |
| 211, 1, 1, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 211 x 1 x 1 x 75 = 11204100
Therefore, the lowest common multiple of 844,354,708,450 is 11204100.
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.
844 x 354 x 708 x 450 = 95190033600
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.
844 : 1, 2, 4, 211, 422, 844
354 : 1, 2, 3, 6, 59, 118, 177, 354
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,354,708,450, is 2.
Now, the common factors can be found like this.
844:2x 2x 211
354:2x 3x 59
708:2x 2x 3x 59
450:2x 3x 3x 5x 5
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 59 = 4248
Therefore, the value for common factors is 4248.
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 = 95190033600/(2x4248)
LCM = 95190033600/8496
LCM = 11204100
Thus, we can understand that the LCM of 844,354,708,450 is 11204100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 354, 708, 450
1. What is the LCM of 844, 354, 708, 450?
Answer: LCM of 844, 354, 708, 450 is 11204100.
2. How to calculate the LCM of 844, 354, 708, 450?
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 844, 354, 708, 450.
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}.