LCM of 721, 630, 229, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 630, 229, 615 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, 630, 229, 615. So, keep reading to learn more.
Given numbers are 721,630,229,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,630,229,615 is 609252210.
Find LCM of 721,630,229,615 with Prime Factorization
| 3 | 721, 630, 229, 615 |
| 5 | 721, 210, 229, 205 |
| 7 | 721, 42, 229, 41 |
| 103, 6, 229, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 103 x 6 x 229 x 41 = 609252210
Therefore, the lowest common multiple of 721,630,229,615 is 609252210.
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 630 x 229 x 615 = 63971482050
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
229 : 1, 229
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,630,229,615, is 1.
Now, the common factors can be found like this.
721:7x 103
630:2x 3x 3x 5x 7
229:229
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 63971482050/(1x105)
LCM = 63971482050/105
LCM = 609252210
Thus, we can understand that the LCM of 721,630,229,615 is 609252210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 630, 229, 615
1. What is the LCM of 721, 630, 229, 615?
Answer: LCM of 721, 630, 229, 615 is 609252210.
2. How to calculate the LCM of 721, 630, 229, 615?
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, 630, 229, 615.
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}.