LCM of 712, 437, 412, 354, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 437, 412, 354, 646 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 712, 437, 412, 354, 646. So, keep reading to learn more.
Given numbers are 712,437,412,354,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,437,412,354,646 is 96431926488.
Find LCM of 712,437,412,354,646 with Prime Factorization
| 2 | 712, 437, 412, 354, 646 |
| 2 | 356, 437, 206, 177, 323 |
| 19 | 178, 437, 103, 177, 323 |
| 178, 23, 103, 177, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 178 x 23 x 103 x 177 x 17 = 96431926488
Therefore, the lowest common multiple of 712,437,412,354,646 is 96431926488.
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.
712 x 437 x 412 x 354 x 646 = 29315305652352
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
437 : 1, 19, 23, 437
412 : 1, 2, 4, 103, 206, 412
354 : 1, 2, 3, 6, 59, 118, 177, 354
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,437,412,354,646, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
437:19x 23
412:2x 2x 103
354:2x 3x 59
646:2x 17x 19
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 19 = 304
Therefore, the value for common factors is 304.
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 = 29315305652352/(1x304)
LCM = 29315305652352/304
LCM = 96431926488
Thus, we can understand that the LCM of 712,437,412,354,646 is 96431926488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 712, 437, 412, 354, 646
1. What is the LCM of 712, 437, 412, 354, 646?
Answer: LCM of 712, 437, 412, 354, 646 is 96431926488.
2. How to calculate the LCM of 712, 437, 412, 354, 646?
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 712, 437, 412, 354, 646.
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}.