LCM of 894, 709, 762, 748, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 709, 762, 748, 846 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 894, 709, 762, 748, 846. So, keep reading to learn more.
Given numbers are 894,709,762,748,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,709,762,748,846 is 4245004840428.
Find LCM of 894,709,762,748,846 with Prime Factorization
| 2 | 894, 709, 762, 748, 846 |
| 3 | 447, 709, 381, 374, 423 |
| 149, 709, 127, 374, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 709 x 127 x 374 x 141 = 4245004840428
Therefore, the lowest common multiple of 894,709,762,748,846 is 4245004840428.
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.
894 x 709 x 762 x 748 x 846 = 305640348510816
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
709 : 1, 709
762 : 1, 2, 3, 6, 127, 254, 381, 762
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,709,762,748,846, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
709:709
762:2x 3x 127
748:2x 2x 11x 17
846:2x 3x 3x 47
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 3 = 72
Therefore, the value for common factors is 72.
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 = 305640348510816/(1x72)
LCM = 305640348510816/72
LCM = 4245004840428
Thus, we can understand that the LCM of 894,709,762,748,846 is 4245004840428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 709, 762, 748, 846
1. What is the LCM of 894, 709, 762, 748, 846?
Answer: LCM of 894, 709, 762, 748, 846 is 4245004840428.
2. How to calculate the LCM of 894, 709, 762, 748, 846?
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 894, 709, 762, 748, 846.
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}.