LCM of 723, 506, 663, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 506, 663, 528 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 723, 506, 663, 528. So, keep reading to learn more.
Given numbers are 723,506,663,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,506,663,528 is 646801584.
Find LCM of 723,506,663,528 with Prime Factorization
| 2 | 723, 506, 663, 528 |
| 3 | 723, 253, 663, 264 |
| 11 | 241, 253, 221, 88 |
| 241, 23, 221, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 241 x 23 x 221 x 8 = 646801584
Therefore, the lowest common multiple of 723,506,663,528 is 646801584.
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.
723 x 506 x 663 x 528 = 128066713632
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.
723 : 1, 3, 241, 723
506 : 1, 2, 11, 22, 23, 46, 253, 506
663 : 1, 3, 13, 17, 39, 51, 221, 663
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,506,663,528, is 1.
Now, the common factors can be found like this.
723:3x 241
506:2x 11x 23
663:3x 13x 17
528:2x 2x 2x 2x 3x 11
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 11 = 198
Therefore, the value for common factors is 198.
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 = 128066713632/(1x198)
LCM = 128066713632/198
LCM = 646801584
Thus, we can understand that the LCM of 723,506,663,528 is 646801584.
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FAQs on LCM of 723, 506, 663, 528
1. What is the LCM of 723, 506, 663, 528?
Answer: LCM of 723, 506, 663, 528 is 646801584.
2. How to calculate the LCM of 723, 506, 663, 528?
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 723, 506, 663, 528.
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}.