LCM of 746, 805, 690, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 805, 690, 437 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 746, 805, 690, 437. So, keep reading to learn more.
Given numbers are 746,805,690,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,805,690,437 is 34230210.
Find LCM of 746,805,690,437 with Prime Factorization
| 2 | 746, 805, 690, 437 |
| 5 | 373, 805, 345, 437 |
| 23 | 373, 161, 69, 437 |
| 373, 7, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 373 x 7 x 3 x 19 = 34230210
Therefore, the lowest common multiple of 746,805,690,437 is 34230210.
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.
746 x 805 x 690 x 437 = 181077810900
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.
746 : 1, 2, 373, 746
805 : 1, 5, 7, 23, 35, 115, 161, 805
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,805,690,437, is 1.
Now, the common factors can be found like this.
746:2x 373
805:5x 7x 23
690:2x 3x 5x 23
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23x 23 = 5290
Therefore, the value for common factors is 5290.
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 = 181077810900/(1x5290)
LCM = 181077810900/5290
LCM = 34230210
Thus, we can understand that the LCM of 746,805,690,437 is 34230210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 805, 690, 437
1. What is the LCM of 746, 805, 690, 437?
Answer: LCM of 746, 805, 690, 437 is 34230210.
2. How to calculate the LCM of 746, 805, 690, 437?
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 746, 805, 690, 437.
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}.