Find the LCM of 373, 193, 329, 564, 893 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 373, 193, 329, 564, 893. So, keep reading to learn more.
Given numbers are 373,193,329,564,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,193,329,564,893 is 5400038868.
Find LCM of 373,193,329,564,893 with Prime Factorization
47 | 373, 193, 329, 564, 893 |
373, 193, 7, 12, 19 |
Multiply the prime numbers at the bottom and the left side.
47 x 373 x 193 x 7 x 12 x 19 = 5400038868
Therefore, the lowest common multiple of 373,193,329,564,893 is 5400038868.
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.
373 x 193 x 329 x 564 x 893 = 11928685859412
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.
373 : 1, 373
193 : 1, 193
329 : 1, 7, 47, 329
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,193,329,564,893, is 1.
Now, the common factors can be found like this.
373:373
193:193
329:7x 47
564:2x 2x 3x 47
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47x 47 = 2209
Therefore, the value for common factors is 2209.
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 = 11928685859412/(1x2209)
LCM = 11928685859412/2209
LCM = 5400038868
Thus, we can understand that the LCM of 373,193,329,564,893 is 5400038868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 193, 329, 564, 893?
Answer: LCM of 373, 193, 329, 564, 893 is 5400038868.
2. How to calculate the LCM of 373, 193, 329, 564, 893?
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 373, 193, 329, 564, 893.
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}.