LCM of 149, 572, 932, 312, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 149, 572, 932, 312, 921 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 149, 572, 932, 312, 921. So, keep reading to learn more.
Given numbers are 149,572,932,312,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,572,932,312,921 is 36578664408.
Find LCM of 149,572,932,312,921 with Prime Factorization
| 2 | 149, 572, 932, 312, 921 |
| 2 | 149, 286, 466, 156, 921 |
| 3 | 149, 143, 233, 78, 921 |
| 13 | 149, 143, 233, 26, 307 |
| 149, 11, 233, 2, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 149 x 11 x 233 x 2 x 307 = 36578664408
Therefore, the lowest common multiple of 149,572,932,312,921 is 36578664408.
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.
149 x 572 x 932 x 312 x 921 = 22825086590592
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.
149 : 1, 149
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
932 : 1, 2, 4, 233, 466, 932
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,572,932,312,921, is 1.
Now, the common factors can be found like this.
149:149
572:2x 2x 11x 13
932:2x 2x 233
312:2x 2x 2x 3x 13
921:3x 307
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 22825086590592/(1x624)
LCM = 22825086590592/624
LCM = 36578664408
Thus, we can understand that the LCM of 149,572,932,312,921 is 36578664408.
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FAQs on LCM of 149, 572, 932, 312, 921
1. What is the LCM of 149, 572, 932, 312, 921?
Answer: LCM of 149, 572, 932, 312, 921 is 36578664408.
2. How to calculate the LCM of 149, 572, 932, 312, 921?
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 149, 572, 932, 312, 921.
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}.