LCM of 220, 924, 749, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 924, 749, 729 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 220, 924, 749, 729. So, keep reading to learn more.
Given numbers are 220,924,749,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,924,749,729 is 120124620.
Find LCM of 220,924,749,729 with Prime Factorization
| 2 | 220, 924, 749, 729 |
| 2 | 110, 462, 749, 729 |
| 3 | 55, 231, 749, 729 |
| 7 | 55, 77, 749, 243 |
| 11 | 55, 11, 107, 243 |
| 5, 1, 107, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 5 x 1 x 107 x 243 = 120124620
Therefore, the lowest common multiple of 220,924,749,729 is 120124620.
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.
220 x 924 x 749 x 729 = 110995148880
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
749 : 1, 7, 107, 749
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,924,749,729, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
924:2x 2x 3x 7x 11
749:7x 107
729:3x 3x 3x 3x 3x 3
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 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 110995148880/(1x924)
LCM = 110995148880/924
LCM = 120124620
Thus, we can understand that the LCM of 220,924,749,729 is 120124620.
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FAQs on LCM of 220, 924, 749, 729
1. What is the LCM of 220, 924, 749, 729?
Answer: LCM of 220, 924, 749, 729 is 120124620.
2. How to calculate the LCM of 220, 924, 749, 729?
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 220, 924, 749, 729.
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}.