Find the LCM of 670, 618, 342, 894, 930 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 670, 618, 342, 894, 930. So, keep reading to learn more.
Given numbers are 670,618,342,894,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,618,342,894,930 is 54507479490.
Find LCM of 670,618,342,894,930 with Prime Factorization
2 | 670, 618, 342, 894, 930 |
3 | 335, 309, 171, 447, 465 |
5 | 335, 103, 57, 149, 155 |
67, 103, 57, 149, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 103 x 57 x 149 x 31 = 54507479490
Therefore, the lowest common multiple of 670,618,342,894,930 is 54507479490.
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.
670 x 618 x 342 x 894 x 930 = 117736155698400
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
618 : 1, 2, 3, 6, 103, 206, 309, 618
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
894 : 1, 2, 3, 6, 149, 298, 447, 894
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,618,342,894,930, is 2.
Now, the common factors can be found like this.
670:2x 5x 67
618:2x 3x 103
342:2x 3x 3x 19
894:2x 3x 149
930:2x 3x 5x 31
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 117736155698400/(2x1080)
LCM = 117736155698400/2160
LCM = 54507479490
Thus, we can understand that the LCM of 670,618,342,894,930 is 54507479490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 670, 618, 342, 894, 930?
Answer: LCM of 670, 618, 342, 894, 930 is 54507479490.
2. How to calculate the LCM of 670, 618, 342, 894, 930?
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 670, 618, 342, 894, 930.
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}.