LCM of 607, 494, 805, 552, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 494, 805, 552, 906 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 607, 494, 805, 552, 906. So, keep reading to learn more.
Given numbers are 607,494,805,552,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,494,805,552,906 is 437390870280.
Find LCM of 607,494,805,552,906 with Prime Factorization
| 2 | 607, 494, 805, 552, 906 |
| 3 | 607, 247, 805, 276, 453 |
| 23 | 607, 247, 805, 92, 151 |
| 607, 247, 35, 4, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 607 x 247 x 35 x 4 x 151 = 437390870280
Therefore, the lowest common multiple of 607,494,805,552,906 is 437390870280.
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.
607 x 494 x 805 x 552 x 906 = 120719880197280
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.
607 : 1, 607
494 : 1, 2, 13, 19, 26, 38, 247, 494
805 : 1, 5, 7, 23, 35, 115, 161, 805
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,494,805,552,906, is 1.
Now, the common factors can be found like this.
607:607
494:2x 13x 19
805:5x 7x 23
552:2x 2x 2x 3x 23
906:2x 3x 151
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 23 = 276
Therefore, the value for common factors is 276.
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 = 120719880197280/(1x276)
LCM = 120719880197280/276
LCM = 437390870280
Thus, we can understand that the LCM of 607,494,805,552,906 is 437390870280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 607, 494, 805, 552, 906
1. What is the LCM of 607, 494, 805, 552, 906?
Answer: LCM of 607, 494, 805, 552, 906 is 437390870280.
2. How to calculate the LCM of 607, 494, 805, 552, 906?
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 607, 494, 805, 552, 906.
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}.