Find the LCM of 835, 764, 146, 334, 294 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 835, 764, 146, 334, 294. So, keep reading to learn more.
Given numbers are 835,764,146,334,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,764,146,334,294 is 6845734140.
Find LCM of 835,764,146,334,294 with Prime Factorization
2 | 835, 764, 146, 334, 294 |
167 | 835, 382, 73, 167, 147 |
5, 382, 73, 1, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 167 x 5 x 382 x 73 x 1 x 147 = 6845734140
Therefore, the lowest common multiple of 835,764,146,334,294 is 6845734140.
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.
835 x 764 x 146 x 334 x 294 = 9145900811040
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.
835 : 1, 5, 167, 835
764 : 1, 2, 4, 191, 382, 764
146 : 1, 2, 73, 146
334 : 1, 2, 167, 334
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,764,146,334,294, is 1.
Now, the common factors can be found like this.
835:5x 167
764:2x 2x 191
146:2x 73
334:2x 167
294:2x 3x 7x 7
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 167 = 1336
Therefore, the value for common factors is 1336.
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 = 9145900811040/(1x1336)
LCM = 9145900811040/1336
LCM = 6845734140
Thus, we can understand that the LCM of 835,764,146,334,294 is 6845734140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 764, 146, 334, 294?
Answer: LCM of 835, 764, 146, 334, 294 is 6845734140.
2. How to calculate the LCM of 835, 764, 146, 334, 294?
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 835, 764, 146, 334, 294.
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}.