Find the LCM of 594, 995, 785, 381, 890 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 594, 995, 785, 381, 890. So, keep reading to learn more.
Given numbers are 594,995,785,381,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,995,785,381,890 is 1048824698130.
Find LCM of 594,995,785,381,890 with Prime Factorization
2 | 594, 995, 785, 381, 890 |
3 | 297, 995, 785, 381, 445 |
5 | 99, 995, 785, 127, 445 |
99, 199, 157, 127, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 99 x 199 x 157 x 127 x 89 = 1048824698130
Therefore, the lowest common multiple of 594,995,785,381,890 is 1048824698130.
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.
594 x 995 x 785 x 381 x 890 = 157323704719500
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
995 : 1, 5, 199, 995
785 : 1, 5, 157, 785
381 : 1, 3, 127, 381
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,995,785,381,890, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
995:5x 199
785:5x 157
381:3x 127
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 157323704719500/(1x150)
LCM = 157323704719500/150
LCM = 1048824698130
Thus, we can understand that the LCM of 594,995,785,381,890 is 1048824698130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 594, 995, 785, 381, 890?
Answer: LCM of 594, 995, 785, 381, 890 is 1048824698130.
2. How to calculate the LCM of 594, 995, 785, 381, 890?
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 594, 995, 785, 381, 890.
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}.