LCM of 842, 749, 552, 908, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 749, 552, 908, 786 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 842, 749, 552, 908, 786. So, keep reading to learn more.
Given numbers are 842,749,552,908,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,749,552,908,786 is 5176070037096.
Find LCM of 842,749,552,908,786 with Prime Factorization
| 2 | 842, 749, 552, 908, 786 |
| 2 | 421, 749, 276, 454, 393 |
| 3 | 421, 749, 138, 227, 393 |
| 421, 749, 46, 227, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 421 x 749 x 46 x 227 x 131 = 5176070037096
Therefore, the lowest common multiple of 842,749,552,908,786 is 5176070037096.
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.
842 x 749 x 552 x 908 x 786 = 248451361780608
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.
842 : 1, 2, 421, 842
749 : 1, 7, 107, 749
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
908 : 1, 2, 4, 227, 454, 908
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,749,552,908,786, is 1.
Now, the common factors can be found like this.
842:2x 421
749:7x 107
552:2x 2x 2x 3x 23
908:2x 2x 227
786:2x 3x 131
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 248451361780608/(1x48)
LCM = 248451361780608/48
LCM = 5176070037096
Thus, we can understand that the LCM of 842,749,552,908,786 is 5176070037096.
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FAQs on LCM of 842, 749, 552, 908, 786
1. What is the LCM of 842, 749, 552, 908, 786?
Answer: LCM of 842, 749, 552, 908, 786 is 5176070037096.
2. How to calculate the LCM of 842, 749, 552, 908, 786?
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 842, 749, 552, 908, 786.
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}.