LCM of 155, 292, 730, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 292, 730, 803 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 155, 292, 730, 803. So, keep reading to learn more.
Given numbers are 155,292,730,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,292,730,803 is 497860.
Find LCM of 155,292,730,803 with Prime Factorization
| 2 | 155, 292, 730, 803 |
| 5 | 155, 146, 365, 803 |
| 73 | 31, 146, 73, 803 |
| 31, 2, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 31 x 2 x 1 x 11 = 497860
Therefore, the lowest common multiple of 155,292,730,803 is 497860.
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.
155 x 292 x 730 x 803 = 26530959400
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.
155 : 1, 5, 31, 155
292 : 1, 2, 4, 73, 146, 292
730 : 1, 2, 5, 10, 73, 146, 365, 730
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,292,730,803, is 1.
Now, the common factors can be found like this.
155:5x 31
292:2x 2x 73
730:2x 5x 73
803:11x 73
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 73x 73 = 53290
Therefore, the value for common factors is 53290.
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 = 26530959400/(1x53290)
LCM = 26530959400/53290
LCM = 497860
Thus, we can understand that the LCM of 155,292,730,803 is 497860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 155, 292, 730, 803
1. What is the LCM of 155, 292, 730, 803?
Answer: LCM of 155, 292, 730, 803 is 497860.
2. How to calculate the LCM of 155, 292, 730, 803?
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 155, 292, 730, 803.
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}.