Find the LCM of 697, 879, 473, 748 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 697, 879, 473, 748. So, keep reading to learn more.
Given numbers are 697,879,473,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,879,473,748 is 1159158396.
Find LCM of 697,879,473,748 with Prime Factorization
11 | 697, 879, 473, 748 |
17 | 697, 879, 43, 68 |
41, 879, 43, 4 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 41 x 879 x 43 x 4 = 1159158396
Therefore, the lowest common multiple of 697,879,473,748 is 1159158396.
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.
697 x 879 x 473 x 748 = 216762620052
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.
697 : 1, 17, 41, 697
879 : 1, 3, 293, 879
473 : 1, 11, 43, 473
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,879,473,748, is 1.
Now, the common factors can be found like this.
697:17x 41
879:3x 293
473:11x 43
748:2x 2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 216762620052/(1x187)
LCM = 216762620052/187
LCM = 1159158396
Thus, we can understand that the LCM of 697,879,473,748 is 1159158396.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 879, 473, 748?
Answer: LCM of 697, 879, 473, 748 is 1159158396.
2. How to calculate the LCM of 697, 879, 473, 748?
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 697, 879, 473, 748.
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}.