LCM of 705, 397, 598, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 397, 598, 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 705, 397, 598, 893. So, keep reading to learn more.
Given numbers are 705,397,598,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,397,598,893 is 3180053370.
Find LCM of 705,397,598,893 with Prime Factorization
| 47 | 705, 397, 598, 893 |
| 15, 397, 598, 19 |
Multiply the prime numbers at the bottom and the left side.
47 x 15 x 397 x 598 x 19 = 3180053370
Therefore, the lowest common multiple of 705,397,598,893 is 3180053370.
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.
705 x 397 x 598 x 893 = 149462508390
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
397 : 1, 397
598 : 1, 2, 13, 23, 26, 46, 299, 598
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,397,598,893, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
397:397
598:2x 13x 23
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.
47 = 47
Therefore, the value for common factors is 47.
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 = 149462508390/(1x47)
LCM = 149462508390/47
LCM = 3180053370
Thus, we can understand that the LCM of 705,397,598,893 is 3180053370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 397, 598, 893
1. What is the LCM of 705, 397, 598, 893?
Answer: LCM of 705, 397, 598, 893 is 3180053370.
2. How to calculate the LCM of 705, 397, 598, 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 705, 397, 598, 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}.