Find the LCM of 676, 748, 697, 372, 844 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 676, 748, 697, 372, 844. So, keep reading to learn more.
Given numbers are 676,748,697,372,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,748,697,372,844 is 101703889716.
Find LCM of 676,748,697,372,844 with Prime Factorization
2 | 676, 748, 697, 372, 844 |
2 | 338, 374, 697, 186, 422 |
17 | 169, 187, 697, 93, 211 |
169, 11, 41, 93, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 169 x 11 x 41 x 93 x 211 = 101703889716
Therefore, the lowest common multiple of 676,748,697,372,844 is 101703889716.
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.
676 x 748 x 697 x 372 x 844 = 110653832011008
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
697 : 1, 17, 41, 697
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,748,697,372,844, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
748:2x 2x 11x 17
697:17x 41
372:2x 2x 3x 31
844:2x 2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 110653832011008/(1x1088)
LCM = 110653832011008/1088
LCM = 101703889716
Thus, we can understand that the LCM of 676,748,697,372,844 is 101703889716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 748, 697, 372, 844?
Answer: LCM of 676, 748, 697, 372, 844 is 101703889716.
2. How to calculate the LCM of 676, 748, 697, 372, 844?
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 676, 748, 697, 372, 844.
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}.