LCM of 628, 247, 676, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 247, 676, 746 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, 247, 676, 746. So, keep reading to learn more.
Given numbers are 628,247,676,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,247,676,746 is 752157484.
Find LCM of 628,247,676,746 with Prime Factorization
| 2 | 628, 247, 676, 746 |
| 2 | 314, 247, 338, 373 |
| 13 | 157, 247, 169, 373 |
| 157, 19, 13, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 157 x 19 x 13 x 373 = 752157484
Therefore, the lowest common multiple of 628,247,676,746 is 752157484.
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 247 x 676 x 746 = 78224378336
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
247 : 1, 13, 19, 247
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,247,676,746, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
247:13x 19
676:2x 2x 13x 13
746:2x 373
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 13 = 104
Therefore, the value for common factors is 104.
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 = 78224378336/(1x104)
LCM = 78224378336/104
LCM = 752157484
Thus, we can understand that the LCM of 628,247,676,746 is 752157484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 628, 247, 676, 746
1. What is the LCM of 628, 247, 676, 746?
Answer: LCM of 628, 247, 676, 746 is 752157484.
2. How to calculate the LCM of 628, 247, 676, 746?
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, 247, 676, 746.
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}.