LCM of 294, 645, 821, 441, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 645, 821, 441, 643 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 294, 645, 821, 441, 643. So, keep reading to learn more.
Given numbers are 294,645,821,441,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,645,821,441,643 is 100106245890.
Find LCM of 294,645,821,441,643 with Prime Factorization
| 3 | 294, 645, 821, 441, 643 |
| 7 | 98, 215, 821, 147, 643 |
| 7 | 14, 215, 821, 21, 643 |
| 2, 215, 821, 3, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 2 x 215 x 821 x 3 x 643 = 100106245890
Therefore, the lowest common multiple of 294,645,821,441,643 is 100106245890.
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.
294 x 645 x 821 x 441 x 643 = 44146854437490
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
645 : 1, 3, 5, 15, 43, 129, 215, 645
821 : 1, 821
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,645,821,441,643, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
645:3x 5x 43
821:821
441:3x 3x 7x 7
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 44146854437490/(1x441)
LCM = 44146854437490/441
LCM = 100106245890
Thus, we can understand that the LCM of 294,645,821,441,643 is 100106245890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 294, 645, 821, 441, 643
1. What is the LCM of 294, 645, 821, 441, 643?
Answer: LCM of 294, 645, 821, 441, 643 is 100106245890.
2. How to calculate the LCM of 294, 645, 821, 441, 643?
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 294, 645, 821, 441, 643.
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}.