LCM of 126, 663, 572, 749, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 663, 572, 749, 624 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 126, 663, 572, 749, 624. So, keep reading to learn more.
Given numbers are 126,663,572,749,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,663,572,749,624 is 262197936.
Find LCM of 126,663,572,749,624 with Prime Factorization
| 2 | 126, 663, 572, 749, 624 |
| 2 | 63, 663, 286, 749, 312 |
| 3 | 63, 663, 143, 749, 156 |
| 7 | 21, 221, 143, 749, 52 |
| 13 | 3, 221, 143, 107, 52 |
| 3, 17, 11, 107, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 3 x 17 x 11 x 107 x 4 = 262197936
Therefore, the lowest common multiple of 126,663,572,749,624 is 262197936.
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.
126 x 663 x 572 x 749 x 624 = 22332971396736
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
663 : 1, 3, 13, 17, 39, 51, 221, 663
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
749 : 1, 7, 107, 749
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,663,572,749,624, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
663:3x 13x 17
572:2x 2x 11x 13
749:7x 107
624:2x 2x 2x 2x 3x 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 3x 7x 13x 13 = 85176
Therefore, the value for common factors is 85176.
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 = 22332971396736/(1x85176)
LCM = 22332971396736/85176
LCM = 262197936
Thus, we can understand that the LCM of 126,663,572,749,624 is 262197936.
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FAQs on LCM of 126, 663, 572, 749, 624
1. What is the LCM of 126, 663, 572, 749, 624?
Answer: LCM of 126, 663, 572, 749, 624 is 262197936.
2. How to calculate the LCM of 126, 663, 572, 749, 624?
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 126, 663, 572, 749, 624.
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}.