LCM of 515, 785, 782, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 785, 782, 749 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 515, 785, 782, 749. So, keep reading to learn more.
Given numbers are 515,785,782,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,785,782,749 is 47358228890.
Find LCM of 515,785,782,749 with Prime Factorization
| 5 | 515, 785, 782, 749 |
| 103, 157, 782, 749 |
Multiply the prime numbers at the bottom and the left side.
5 x 103 x 157 x 782 x 749 = 47358228890
Therefore, the lowest common multiple of 515,785,782,749 is 47358228890.
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.
515 x 785 x 782 x 749 = 236791144450
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.
515 : 1, 5, 103, 515
785 : 1, 5, 157, 785
782 : 1, 2, 17, 23, 34, 46, 391, 782
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,785,782,749, is 1.
Now, the common factors can be found like this.
515:5x 103
785:5x 157
782:2x 17x 23
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 236791144450/(1x5)
LCM = 236791144450/5
LCM = 47358228890
Thus, we can understand that the LCM of 515,785,782,749 is 47358228890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 785, 782, 749
1. What is the LCM of 515, 785, 782, 749?
Answer: LCM of 515, 785, 782, 749 is 47358228890.
2. How to calculate the LCM of 515, 785, 782, 749?
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 515, 785, 782, 749.
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}.