LCM of 634, 749, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 749, 902 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 634, 749, 902. So, keep reading to learn more.
Given numbers are 634,749,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,749,902 is 214164566.
Find LCM of 634,749,902 with Prime Factorization
| 2 | 634, 749, 902 |
| 317, 749, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 749 x 451 = 214164566
Therefore, the lowest common multiple of 634,749,902 is 214164566.
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.
634 x 749 x 902 = 428329132
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.
634 : 1, 2, 317, 634
749 : 1, 7, 107, 749
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,749,902, is 1.
Now, the common factors can be found like this.
634:2x 317
749:7x 107
902:2x 11x 41
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 = 428329132/(1x2)
LCM = 428329132/2
LCM = 214164566
Thus, we can understand that the LCM of 634,749,902 is 214164566.
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FAQs on LCM of 634, 749, 902
1. What is the LCM of 634, 749, 902?
Answer: LCM of 634, 749, 902 is 214164566.
2. How to calculate the LCM of 634, 749, 902?
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 634, 749, 902.
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}.