LCM of 628, 234, 749, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 234, 749, 321 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 628, 234, 749, 321. So, keep reading to learn more.
Given numbers are 628,234,749,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,234,749,321 is 55033524.
Find LCM of 628,234,749,321 with Prime Factorization
| 2 | 628, 234, 749, 321 |
| 3 | 314, 117, 749, 321 |
| 107 | 314, 39, 749, 107 |
| 314, 39, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 314 x 39 x 7 x 1 = 55033524
Therefore, the lowest common multiple of 628,234,749,321 is 55033524.
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.
628 x 234 x 749 x 321 = 35331522408
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.
628 : 1, 2, 4, 157, 314, 628
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
749 : 1, 7, 107, 749
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,234,749,321, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
234:2x 3x 3x 13
749:7x 107
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 107 = 642
Therefore, the value for common factors is 642.
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 = 35331522408/(1x642)
LCM = 35331522408/642
LCM = 55033524
Thus, we can understand that the LCM of 628,234,749,321 is 55033524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 628, 234, 749, 321
1. What is the LCM of 628, 234, 749, 321?
Answer: LCM of 628, 234, 749, 321 is 55033524.
2. How to calculate the LCM of 628, 234, 749, 321?
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 628, 234, 749, 321.
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}.