Find the LCM of 767, 739, 739, 490 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 767, 739, 739, 490. So, keep reading to learn more.
Given numbers are 767,739,739,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,739,739,490 is 277738370.
Find LCM of 767,739,739,490 with Prime Factorization
739 | 767, 739, 739, 490 |
767, 1, 1, 490 |
Multiply the prime numbers at the bottom and the left side.
739 x 767 x 1 x 1 x 490 = 277738370
Therefore, the lowest common multiple of 767,739,739,490 is 277738370.
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.
767 x 739 x 739 x 490 = 205248655430
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.
767 : 1, 13, 59, 767
739 : 1, 739
739 : 1, 739
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,739,739,490, is 1.
Now, the common factors can be found like this.
767:13x 59
739:739
739:739
490:2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
739 = 739
Therefore, the value for common factors is 739.
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 = 205248655430/(1x739)
LCM = 205248655430/739
LCM = 277738370
Thus, we can understand that the LCM of 767,739,739,490 is 277738370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 739, 739, 490?
Answer: LCM of 767, 739, 739, 490 is 277738370.
2. How to calculate the LCM of 767, 739, 739, 490?
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 767, 739, 739, 490.
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}.