LCM of 749, 695, 105, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 695, 105, 587 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, 695, 105, 587. So, keep reading to learn more.
Given numbers are 749,695,105,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,695,105,587 is 916697355.
Find LCM of 749,695,105,587 with Prime Factorization
| 5 | 749, 695, 105, 587 |
| 7 | 749, 139, 21, 587 |
| 107, 139, 3, 587 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 107 x 139 x 3 x 587 = 916697355
Therefore, the lowest common multiple of 749,695,105,587 is 916697355.
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 695 x 105 x 587 = 32084407425
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
695 : 1, 5, 139, 695
105 : 1, 3, 5, 7, 15, 21, 35, 105
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,695,105,587, is 1.
Now, the common factors can be found like this.
749:7x 107
695:5x 139
105:3x 5x 7
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 32084407425/(1x35)
LCM = 32084407425/35
LCM = 916697355
Thus, we can understand that the LCM of 749,695,105,587 is 916697355.
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FAQs on LCM of 749, 695, 105, 587
1. What is the LCM of 749, 695, 105, 587?
Answer: LCM of 749, 695, 105, 587 is 916697355.
2. How to calculate the LCM of 749, 695, 105, 587?
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, 695, 105, 587.
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}.