Find the LCM of 714, 844, 209, 662, 677 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 714, 844, 209, 662, 677. So, keep reading to learn more.
Given numbers are 714,844,209,662,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,844,209,662,677 is 14111514011364.
Find LCM of 714,844,209,662,677 with Prime Factorization
2 | 714, 844, 209, 662, 677 |
357, 422, 209, 331, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 357 x 422 x 209 x 331 x 677 = 14111514011364
Therefore, the lowest common multiple of 714,844,209,662,677 is 14111514011364.
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.
714 x 844 x 209 x 662 x 677 = 56446056045456
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
844 : 1, 2, 4, 211, 422, 844
209 : 1, 11, 19, 209
662 : 1, 2, 331, 662
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,844,209,662,677, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
844:2x 2x 211
209:11x 19
662:2x 331
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 56446056045456/(1x4)
LCM = 56446056045456/4
LCM = 14111514011364
Thus, we can understand that the LCM of 714,844,209,662,677 is 14111514011364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 714, 844, 209, 662, 677?
Answer: LCM of 714, 844, 209, 662, 677 is 14111514011364.
2. How to calculate the LCM of 714, 844, 209, 662, 677?
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 714, 844, 209, 662, 677.
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}.