LCM of 476, 537, 306, 924, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 537, 306, 924, 707 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 476, 537, 306, 924, 707. So, keep reading to learn more.
Given numbers are 476,537,306,924,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,537,306,924,707 is 851954796.
Find LCM of 476,537,306,924,707 with Prime Factorization
| 2 | 476, 537, 306, 924, 707 |
| 2 | 238, 537, 153, 462, 707 |
| 3 | 119, 537, 153, 231, 707 |
| 7 | 119, 179, 51, 77, 707 |
| 17 | 17, 179, 51, 11, 101 |
| 1, 179, 3, 11, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 1 x 179 x 3 x 11 x 101 = 851954796
Therefore, the lowest common multiple of 476,537,306,924,707 is 851954796.
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.
476 x 537 x 306 x 924 x 707 = 51096840844896
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
537 : 1, 3, 179, 537
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,537,306,924,707, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
537:3x 179
306:2x 3x 3x 17
924:2x 2x 3x 7x 11
707:7x 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 3x 7x 7x 17 = 59976
Therefore, the value for common factors is 59976.
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 = 51096840844896/(1x59976)
LCM = 51096840844896/59976
LCM = 851954796
Thus, we can understand that the LCM of 476,537,306,924,707 is 851954796.
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FAQs on LCM of 476, 537, 306, 924, 707
1. What is the LCM of 476, 537, 306, 924, 707?
Answer: LCM of 476, 537, 306, 924, 707 is 851954796.
2. How to calculate the LCM of 476, 537, 306, 924, 707?
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 476, 537, 306, 924, 707.
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}.