LCM of 620, 738, 615, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 738, 615, 851 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 620, 738, 615, 851. So, keep reading to learn more.
Given numbers are 620,738,615,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,738,615,851 is 194691780.
Find LCM of 620,738,615,851 with Prime Factorization
| 2 | 620, 738, 615, 851 |
| 3 | 310, 369, 615, 851 |
| 5 | 310, 123, 205, 851 |
| 41 | 62, 123, 41, 851 |
| 62, 3, 1, 851 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 62 x 3 x 1 x 851 = 194691780
Therefore, the lowest common multiple of 620,738,615,851 is 194691780.
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.
620 x 738 x 615 x 851 = 239470889400
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
615 : 1, 3, 5, 15, 41, 123, 205, 615
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,738,615,851, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
738:2x 3x 3x 41
615:3x 5x 41
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 41 = 1230
Therefore, the value for common factors is 1230.
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 = 239470889400/(1x1230)
LCM = 239470889400/1230
LCM = 194691780
Thus, we can understand that the LCM of 620,738,615,851 is 194691780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 620, 738, 615, 851
1. What is the LCM of 620, 738, 615, 851?
Answer: LCM of 620, 738, 615, 851 is 194691780.
2. How to calculate the LCM of 620, 738, 615, 851?
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 620, 738, 615, 851.
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}.