LCM of 924, 575, 572, 780, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 575, 572, 780, 894 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 924, 575, 572, 780, 894. So, keep reading to learn more.
Given numbers are 924,575,572,780,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,575,572,780,894 is 1029128100.
Find LCM of 924,575,572,780,894 with Prime Factorization
| 2 | 924, 575, 572, 780, 894 |
| 2 | 462, 575, 286, 390, 447 |
| 3 | 231, 575, 143, 195, 447 |
| 5 | 77, 575, 143, 65, 149 |
| 11 | 77, 115, 143, 13, 149 |
| 13 | 7, 115, 13, 13, 149 |
| 7, 115, 1, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 7 x 115 x 1 x 1 x 149 = 1029128100
Therefore, the lowest common multiple of 924,575,572,780,894 is 1029128100.
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.
924 x 575 x 572 x 780 x 894 = 211918058352000
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.
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
575 : 1, 5, 23, 25, 115, 575
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,575,572,780,894, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
575:5x 5x 23
572:2x 2x 11x 13
780:2x 2x 3x 5x 13
894:2x 3x 149
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 2x 2x 3x 3x 5x 11x 13 = 205920
Therefore, the value for common factors is 205920.
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 = 211918058352000/(1x205920)
LCM = 211918058352000/205920
LCM = 1029128100
Thus, we can understand that the LCM of 924,575,572,780,894 is 1029128100.
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FAQs on LCM of 924, 575, 572, 780, 894
1. What is the LCM of 924, 575, 572, 780, 894?
Answer: LCM of 924, 575, 572, 780, 894 is 1029128100.
2. How to calculate the LCM of 924, 575, 572, 780, 894?
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 924, 575, 572, 780, 894.
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}.