LCM of 532, 381, 658, 651, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 381, 658, 651, 472 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 532, 381, 658, 651, 472. So, keep reading to learn more.
Given numbers are 532,381,658,651,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,381,658,651,472 is 34848024792.
Find LCM of 532,381,658,651,472 with Prime Factorization
| 2 | 532, 381, 658, 651, 472 |
| 2 | 266, 381, 329, 651, 236 |
| 3 | 133, 381, 329, 651, 118 |
| 7 | 133, 127, 329, 217, 118 |
| 19, 127, 47, 31, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 127 x 47 x 31 x 118 = 34848024792
Therefore, the lowest common multiple of 532,381,658,651,472 is 34848024792.
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.
532 x 381 x 658 x 651 x 472 = 40981277155392
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
381 : 1, 3, 127, 381
658 : 1, 2, 7, 14, 47, 94, 329, 658
651 : 1, 3, 7, 21, 31, 93, 217, 651
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,381,658,651,472, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
381:3x 127
658:2x 7x 47
651:3x 7x 31
472:2x 2x 2x 59
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 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 40981277155392/(1x1176)
LCM = 40981277155392/1176
LCM = 34848024792
Thus, we can understand that the LCM of 532,381,658,651,472 is 34848024792.
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FAQs on LCM of 532, 381, 658, 651, 472
1. What is the LCM of 532, 381, 658, 651, 472?
Answer: LCM of 532, 381, 658, 651, 472 is 34848024792.
2. How to calculate the LCM of 532, 381, 658, 651, 472?
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 532, 381, 658, 651, 472.
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}.