LCM of 937, 742, 456, 588, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 742, 456, 588, 374 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, 742, 456, 588, 374. So, keep reading to learn more.
Given numbers are 937,742,456,588,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,742,456,588,374 is 207499946808.
Find LCM of 937,742,456,588,374 with Prime Factorization
| 2 | 937, 742, 456, 588, 374 |
| 2 | 937, 371, 228, 294, 187 |
| 3 | 937, 371, 114, 147, 187 |
| 7 | 937, 371, 38, 49, 187 |
| 937, 53, 38, 7, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 937 x 53 x 38 x 7 x 187 = 207499946808
Therefore, the lowest common multiple of 937,742,456,588,374 is 207499946808.
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 742 x 456 x 588 x 374 = 69719982127488
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,742,456,588,374, is 1.
Now, the common factors can be found like this.
937:937
742:2x 7x 53
456:2x 2x 2x 3x 19
588:2x 2x 3x 7x 7
374:2x 11x 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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 69719982127488/(1x336)
LCM = 69719982127488/336
LCM = 207499946808
Thus, we can understand that the LCM of 937,742,456,588,374 is 207499946808.
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FAQs on LCM of 937, 742, 456, 588, 374
1. What is the LCM of 937, 742, 456, 588, 374?
Answer: LCM of 937, 742, 456, 588, 374 is 207499946808.
2. How to calculate the LCM of 937, 742, 456, 588, 374?
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, 742, 456, 588, 374.
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}.