LCM of 670, 822, 745, 137
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 822, 745, 137 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 670, 822, 745, 137. So, keep reading to learn more.
Given numbers are 670,822,745,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,822,745,137 is 41030130.
Find LCM of 670,822,745,137 with Prime Factorization
| 2 | 670, 822, 745, 137 |
| 5 | 335, 411, 745, 137 |
| 137 | 67, 411, 149, 137 |
| 67, 3, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 137 x 67 x 3 x 149 x 1 = 41030130
Therefore, the lowest common multiple of 670,822,745,137 is 41030130.
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.
670 x 822 x 745 x 137 = 56211278100
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
822 : 1, 2, 3, 6, 137, 274, 411, 822
745 : 1, 5, 149, 745
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,822,745,137, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
822:2x 3x 137
745:5x 149
137:137
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 137 = 1370
Therefore, the value for common factors is 1370.
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 = 56211278100/(1x1370)
LCM = 56211278100/1370
LCM = 41030130
Thus, we can understand that the LCM of 670,822,745,137 is 41030130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 670, 822, 745, 137
1. What is the LCM of 670, 822, 745, 137?
Answer: LCM of 670, 822, 745, 137 is 41030130.
2. How to calculate the LCM of 670, 822, 745, 137?
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 670, 822, 745, 137.
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}.