LCM of 749, 668, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 668, 626 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, 668, 626. So, keep reading to learn more.
Given numbers are 749,668,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,668,626 is 156603916.
Find LCM of 749,668,626 with Prime Factorization
| 2 | 749, 668, 626 |
| 749, 334, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 749 x 334 x 313 = 156603916
Therefore, the lowest common multiple of 749,668,626 is 156603916.
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 668 x 626 = 313207832
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
668 : 1, 2, 4, 167, 334, 668
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,668,626, is 1.
Now, the common factors can be found like this.
749:7x 107
668:2x 2x 167
626:2x 313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 313207832/(1x2)
LCM = 313207832/2
LCM = 156603916
Thus, we can understand that the LCM of 749,668,626 is 156603916.
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FAQs on LCM of 749, 668, 626
1. What is the LCM of 749, 668, 626?
Answer: LCM of 749, 668, 626 is 156603916.
2. How to calculate the LCM of 749, 668, 626?
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, 668, 626.
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}.