LCM of 906, 714, 767, 749, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 714, 767, 749, 469 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 906, 714, 767, 749, 469. So, keep reading to learn more.
Given numbers are 906,714,767,749,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,714,767,749,469 is 592828540122.
Find LCM of 906,714,767,749,469 with Prime Factorization
| 2 | 906, 714, 767, 749, 469 |
| 3 | 453, 357, 767, 749, 469 |
| 7 | 151, 119, 767, 749, 469 |
| 151, 17, 767, 107, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 151 x 17 x 767 x 107 x 67 = 592828540122
Therefore, the lowest common multiple of 906,714,767,749,469 is 592828540122.
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.
906 x 714 x 767 x 749 x 469 = 174291590795868
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
767 : 1, 13, 59, 767
749 : 1, 7, 107, 749
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,714,767,749,469, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
714:2x 3x 7x 17
767:13x 59
749:7x 107
469:7x 67
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 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 174291590795868/(1x294)
LCM = 174291590795868/294
LCM = 592828540122
Thus, we can understand that the LCM of 906,714,767,749,469 is 592828540122.
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FAQs on LCM of 906, 714, 767, 749, 469
1. What is the LCM of 906, 714, 767, 749, 469?
Answer: LCM of 906, 714, 767, 749, 469 is 592828540122.
2. How to calculate the LCM of 906, 714, 767, 749, 469?
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 906, 714, 767, 749, 469.
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}.