LCM of 437, 402, 874, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 402, 874, 744 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 437, 402, 874, 744. So, keep reading to learn more.
Given numbers are 437,402,874,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,402,874,744 is 21783576.
Find LCM of 437,402,874,744 with Prime Factorization
| 2 | 437, 402, 874, 744 |
| 3 | 437, 201, 437, 372 |
| 19 | 437, 67, 437, 124 |
| 23 | 23, 67, 23, 124 |
| 1, 67, 1, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 1 x 67 x 1 x 124 = 21783576
Therefore, the lowest common multiple of 437,402,874,744 is 21783576.
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.
437 x 402 x 874 x 744 = 114233072544
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.
437 : 1, 19, 23, 437
402 : 1, 2, 3, 6, 67, 134, 201, 402
874 : 1, 2, 19, 23, 38, 46, 437, 874
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,402,874,744, is 1.
Now, the common factors can be found like this.
437:19x 23
402:2x 3x 67
874:2x 19x 23
744:2x 2x 2x 3x 31
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 19x 23 = 5244
Therefore, the value for common factors is 5244.
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 = 114233072544/(1x5244)
LCM = 114233072544/5244
LCM = 21783576
Thus, we can understand that the LCM of 437,402,874,744 is 21783576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 402, 874, 744
1. What is the LCM of 437, 402, 874, 744?
Answer: LCM of 437, 402, 874, 744 is 21783576.
2. How to calculate the LCM of 437, 402, 874, 744?
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 437, 402, 874, 744.
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}.