LCM of 937, 347, 918, 714, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 347, 918, 714, 204 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 937, 347, 918, 714, 204. So, keep reading to learn more.
Given numbers are 937,347,918,714,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,347,918,714,204 is 4178686428.
Find LCM of 937,347,918,714,204 with Prime Factorization
| 2 | 937, 347, 918, 714, 204 |
| 3 | 937, 347, 459, 357, 102 |
| 17 | 937, 347, 153, 119, 34 |
| 937, 347, 9, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 937 x 347 x 9 x 7 x 2 = 4178686428
Therefore, the lowest common multiple of 937,347,918,714,204 is 4178686428.
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.
937 x 347 x 918 x 714 x 204 = 43475053596912
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.
937 : 1, 937
347 : 1, 347
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,347,918,714,204, is 1.
Now, the common factors can be found like this.
937:937
347:347
918:2x 3x 3x 3x 17
714:2x 3x 7x 17
204:2x 2x 3x 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 3x 3x 17x 17 = 10404
Therefore, the value for common factors is 10404.
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 = 43475053596912/(1x10404)
LCM = 43475053596912/10404
LCM = 4178686428
Thus, we can understand that the LCM of 937,347,918,714,204 is 4178686428.
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FAQs on LCM of 937, 347, 918, 714, 204
1. What is the LCM of 937, 347, 918, 714, 204?
Answer: LCM of 937, 347, 918, 714, 204 is 4178686428.
2. How to calculate the LCM of 937, 347, 918, 714, 204?
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 937, 347, 918, 714, 204.
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}.