LCM of 721, 143, 820, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 143, 820, 492 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 721, 143, 820, 492. So, keep reading to learn more.
Given numbers are 721,143,820,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,143,820,492 is 253633380.
Find LCM of 721,143,820,492 with Prime Factorization
| 2 | 721, 143, 820, 492 |
| 2 | 721, 143, 410, 246 |
| 41 | 721, 143, 205, 123 |
| 721, 143, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 721 x 143 x 5 x 3 = 253633380
Therefore, the lowest common multiple of 721,143,820,492 is 253633380.
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.
721 x 143 x 820 x 492 = 41595874320
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.
721 : 1, 7, 103, 721
143 : 1, 11, 13, 143
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,143,820,492, is 1.
Now, the common factors can be found like this.
721:7x 103
143:11x 13
820:2x 2x 5x 41
492:2x 2x 3x 41
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 41 = 164
Therefore, the value for common factors is 164.
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 = 41595874320/(1x164)
LCM = 41595874320/164
LCM = 253633380
Thus, we can understand that the LCM of 721,143,820,492 is 253633380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 143, 820, 492
1. What is the LCM of 721, 143, 820, 492?
Answer: LCM of 721, 143, 820, 492 is 253633380.
2. How to calculate the LCM of 721, 143, 820, 492?
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 721, 143, 820, 492.
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}.