LCM of 628, 658, 294, 140, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 658, 294, 140, 294 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, 658, 294, 140, 294. So, keep reading to learn more.
Given numbers are 628,658,294,140,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,658,294,140,294 is 21694260.
Find LCM of 628,658,294,140,294 with Prime Factorization
| 2 | 628, 658, 294, 140, 294 |
| 2 | 314, 329, 147, 70, 147 |
| 3 | 157, 329, 147, 35, 147 |
| 7 | 157, 329, 49, 35, 49 |
| 7 | 157, 47, 7, 5, 7 |
| 157, 47, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 157 x 47 x 1 x 5 x 1 = 21694260
Therefore, the lowest common multiple of 628,658,294,140,294 is 21694260.
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 658 x 294 x 140 x 294 = 5000440152960
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
658 : 1, 2, 7, 14, 47, 94, 329, 658
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,658,294,140,294, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
658:2x 7x 47
294:2x 3x 7x 7
140:2x 2x 5x 7
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 7x 7x 7x 7 = 115248
Therefore, the value for common factors is 115248.
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 = 5000440152960/(2x115248)
LCM = 5000440152960/230496
LCM = 21694260
Thus, we can understand that the LCM of 628,658,294,140,294 is 21694260.
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FAQs on LCM of 628, 658, 294, 140, 294
1. What is the LCM of 628, 658, 294, 140, 294?
Answer: LCM of 628, 658, 294, 140, 294 is 21694260.
2. How to calculate the LCM of 628, 658, 294, 140, 294?
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, 658, 294, 140, 294.
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}.