LCM of 966, 699, 920, 619, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 699, 920, 619, 741 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 966, 699, 920, 619, 741. So, keep reading to learn more.
Given numbers are 966,699,920,619,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,699,920,619,741 is 688257013080.
Find LCM of 966,699,920,619,741 with Prime Factorization
| 2 | 966, 699, 920, 619, 741 |
| 3 | 483, 699, 460, 619, 741 |
| 23 | 161, 233, 460, 619, 247 |
| 7, 233, 20, 619, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 7 x 233 x 20 x 619 x 247 = 688257013080
Therefore, the lowest common multiple of 966,699,920,619,741 is 688257013080.
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.
966 x 699 x 920 x 619 x 741 = 284938403415120
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
699 : 1, 3, 233, 699
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
619 : 1, 619
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,699,920,619,741, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
699:3x 233
920:2x 2x 2x 5x 23
619:619
741:3x 13x 19
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 284938403415120/(1x414)
LCM = 284938403415120/414
LCM = 688257013080
Thus, we can understand that the LCM of 966,699,920,619,741 is 688257013080.
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FAQs on LCM of 966, 699, 920, 619, 741
1. What is the LCM of 966, 699, 920, 619, 741?
Answer: LCM of 966, 699, 920, 619, 741 is 688257013080.
2. How to calculate the LCM of 966, 699, 920, 619, 741?
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 966, 699, 920, 619, 741.
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}.