LCM of 749, 874, 182, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 874, 182, 391 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 749, 874, 182, 391. So, keep reading to learn more.
Given numbers are 749,874,182,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,874,182,391 is 144672346.
Find LCM of 749,874,182,391 with Prime Factorization
| 2 | 749, 874, 182, 391 |
| 7 | 749, 437, 91, 391 |
| 23 | 107, 437, 13, 391 |
| 107, 19, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 107 x 19 x 13 x 17 = 144672346
Therefore, the lowest common multiple of 749,874,182,391 is 144672346.
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.
749 x 874 x 182 x 391 = 46584495412
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.
749 : 1, 7, 107, 749
874 : 1, 2, 19, 23, 38, 46, 437, 874
182 : 1, 2, 7, 13, 14, 26, 91, 182
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,874,182,391, is 1.
Now, the common factors can be found like this.
749:7x 107
874:2x 19x 23
182:2x 7x 13
391:17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 46584495412/(1x322)
LCM = 46584495412/322
LCM = 144672346
Thus, we can understand that the LCM of 749,874,182,391 is 144672346.
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FAQs on LCM of 749, 874, 182, 391
1. What is the LCM of 749, 874, 182, 391?
Answer: LCM of 749, 874, 182, 391 is 144672346.
2. How to calculate the LCM of 749, 874, 182, 391?
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 749, 874, 182, 391.
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}.