LCM of 746, 924, 895, 130, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 924, 895, 130, 606 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 746, 924, 895, 130, 606. So, keep reading to learn more.
Given numbers are 746,924,895,130,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,924,895,130,606 is 405012628020.
Find LCM of 746,924,895,130,606 with Prime Factorization
| 2 | 746, 924, 895, 130, 606 |
| 3 | 373, 462, 895, 65, 303 |
| 5 | 373, 154, 895, 65, 101 |
| 373, 154, 179, 13, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 373 x 154 x 179 x 13 x 101 = 405012628020
Therefore, the lowest common multiple of 746,924,895,130,606 is 405012628020.
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.
746 x 924 x 895 x 130 x 606 = 48601515362400
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.
746 : 1, 2, 373, 746
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
895 : 1, 5, 179, 895
130 : 1, 2, 5, 10, 13, 26, 65, 130
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,924,895,130,606, is 1.
Now, the common factors can be found like this.
746:2x 373
924:2x 2x 3x 7x 11
895:5x 179
130:2x 5x 13
606:2x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 48601515362400/(1x120)
LCM = 48601515362400/120
LCM = 405012628020
Thus, we can understand that the LCM of 746,924,895,130,606 is 405012628020.
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FAQs on LCM of 746, 924, 895, 130, 606
1. What is the LCM of 746, 924, 895, 130, 606?
Answer: LCM of 746, 924, 895, 130, 606 is 405012628020.
2. How to calculate the LCM of 746, 924, 895, 130, 606?
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 746, 924, 895, 130, 606.
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}.