Find the LCM of 752, 821, 821, 893, 302 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 752, 821, 821, 893, 302. So, keep reading to learn more.
Given numbers are 752,821,821,893,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 752,821,821,893,302 is 1771297648.
Find LCM of 752,821,821,893,302 with Prime Factorization
2 | 752, 821, 821, 893, 302 |
47 | 376, 821, 821, 893, 151 |
821 | 8, 821, 821, 19, 151 |
8, 1, 1, 19, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 821 x 8 x 1 x 1 x 19 x 151 = 1771297648
Therefore, the lowest common multiple of 752,821,821,893,302 is 1771297648.
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.
752 x 821 x 821 x 893 x 302 = 136698124686752
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.
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
821 : 1, 821
821 : 1, 821
893 : 1, 19, 47, 893
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,821,821,893,302, is 1.
Now, the common factors can be found like this.
752:2x 2x 2x 2x 47
821:821
821:821
893:19x 47
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 47x 821 = 77174
Therefore, the value for common factors is 77174.
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 = 136698124686752/(1x77174)
LCM = 136698124686752/77174
LCM = 1771297648
Thus, we can understand that the LCM of 752,821,821,893,302 is 1771297648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 752, 821, 821, 893, 302?
Answer: LCM of 752, 821, 821, 893, 302 is 1771297648.
2. How to calculate the LCM of 752, 821, 821, 893, 302?
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 752, 821, 821, 893, 302.
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}.