LCM of 773, 147, 506, 540, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 147, 506, 540, 572 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 773, 147, 506, 540, 572. So, keep reading to learn more.
Given numbers are 773,147,506,540,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,147,506,540,572 is 67271824620.
Find LCM of 773,147,506,540,572 with Prime Factorization
| 2 | 773, 147, 506, 540, 572 |
| 2 | 773, 147, 253, 270, 286 |
| 3 | 773, 147, 253, 135, 143 |
| 11 | 773, 49, 253, 45, 143 |
| 773, 49, 23, 45, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 773 x 49 x 23 x 45 x 13 = 67271824620
Therefore, the lowest common multiple of 773,147,506,540,572 is 67271824620.
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.
773 x 147 x 506 x 540 x 572 = 17759761699680
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.
773 : 1, 773
147 : 1, 3, 7, 21, 49, 147
506 : 1, 2, 11, 22, 23, 46, 253, 506
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,147,506,540,572, is 1.
Now, the common factors can be found like this.
773:773
147:3x 7x 7
506:2x 11x 23
540:2x 2x 3x 3x 3x 5
572:2x 2x 11x 13
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 11 = 264
Therefore, the value for common factors is 264.
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 = 17759761699680/(1x264)
LCM = 17759761699680/264
LCM = 67271824620
Thus, we can understand that the LCM of 773,147,506,540,572 is 67271824620.
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FAQs on LCM of 773, 147, 506, 540, 572
1. What is the LCM of 773, 147, 506, 540, 572?
Answer: LCM of 773, 147, 506, 540, 572 is 67271824620.
2. How to calculate the LCM of 773, 147, 506, 540, 572?
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 773, 147, 506, 540, 572.
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}.