LCM of 874, 649, 456, 472, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 649, 456, 472, 295 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 874, 649, 456, 472, 295. So, keep reading to learn more.
Given numbers are 874,649,456,472,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,649,456,472,295 is 34033560.
Find LCM of 874,649,456,472,295 with Prime Factorization
| 2 | 874, 649, 456, 472, 295 |
| 2 | 437, 649, 228, 236, 295 |
| 2 | 437, 649, 114, 118, 295 |
| 19 | 437, 649, 57, 59, 295 |
| 59 | 23, 649, 3, 59, 295 |
| 23, 11, 3, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 59 x 23 x 11 x 3 x 1 x 5 = 34033560
Therefore, the lowest common multiple of 874,649,456,472,295 is 34033560.
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.
874 x 649 x 456 x 472 x 295 = 36015129997440
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
649 : 1, 11, 59, 649
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
472 : 1, 2, 4, 8, 59, 118, 236, 472
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,649,456,472,295, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
649:11x 59
456:2x 2x 2x 3x 19
472:2x 2x 2x 59
295:5x 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 2x 19x 59x 59 = 1058224
Therefore, the value for common factors is 1058224.
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 = 36015129997440/(1x1058224)
LCM = 36015129997440/1058224
LCM = 34033560
Thus, we can understand that the LCM of 874,649,456,472,295 is 34033560.
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FAQs on LCM of 874, 649, 456, 472, 295
1. What is the LCM of 874, 649, 456, 472, 295?
Answer: LCM of 874, 649, 456, 472, 295 is 34033560.
2. How to calculate the LCM of 874, 649, 456, 472, 295?
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 874, 649, 456, 472, 295.
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}.