LCM of 856, 142, 749, 884, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 142, 749, 884, 357 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 856, 142, 749, 884, 357. So, keep reading to learn more.
Given numbers are 856,142,749,884,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,142,749,884,357 is 282061416.
Find LCM of 856,142,749,884,357 with Prime Factorization
| 2 | 856, 142, 749, 884, 357 |
| 2 | 428, 71, 749, 442, 357 |
| 7 | 214, 71, 749, 221, 357 |
| 17 | 214, 71, 107, 221, 51 |
| 107 | 214, 71, 107, 13, 3 |
| 2, 71, 1, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 107 x 2 x 71 x 1 x 13 x 3 = 282061416
Therefore, the lowest common multiple of 856,142,749,884,357 is 282061416.
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.
856 x 142 x 749 x 884 x 357 = 28731904079424
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
142 : 1, 2, 71, 142
749 : 1, 7, 107, 749
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,142,749,884,357, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
142:2x 71
749:7x 107
884:2x 2x 13x 17
357:3x 7x 17
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 7x 17x 107 = 101864
Therefore, the value for common factors is 101864.
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 = 28731904079424/(1x101864)
LCM = 28731904079424/101864
LCM = 282061416
Thus, we can understand that the LCM of 856,142,749,884,357 is 282061416.
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FAQs on LCM of 856, 142, 749, 884, 357
1. What is the LCM of 856, 142, 749, 884, 357?
Answer: LCM of 856, 142, 749, 884, 357 is 282061416.
2. How to calculate the LCM of 856, 142, 749, 884, 357?
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 856, 142, 749, 884, 357.
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}.