LCM of 473, 690, 278, 588, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 690, 278, 588, 410 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 473, 690, 278, 588, 410. So, keep reading to learn more.
Given numbers are 473,690,278,588,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,690,278,588,410 is 182278297740.
Find LCM of 473,690,278,588,410 with Prime Factorization
| 2 | 473, 690, 278, 588, 410 |
| 3 | 473, 345, 139, 294, 205 |
| 5 | 473, 115, 139, 98, 205 |
| 473, 23, 139, 98, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 473 x 23 x 139 x 98 x 41 = 182278297740
Therefore, the lowest common multiple of 473,690,278,588,410 is 182278297740.
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.
473 x 690 x 278 x 588 x 410 = 21873395728800
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.
473 : 1, 11, 43, 473
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
278 : 1, 2, 139, 278
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,690,278,588,410, is 1.
Now, the common factors can be found like this.
473:11x 43
690:2x 3x 5x 23
278:2x 139
588:2x 2x 3x 7x 7
410:2x 5x 41
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 5 = 120
Therefore, the value for common factors is 120.
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 = 21873395728800/(1x120)
LCM = 21873395728800/120
LCM = 182278297740
Thus, we can understand that the LCM of 473,690,278,588,410 is 182278297740.
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FAQs on LCM of 473, 690, 278, 588, 410
1. What is the LCM of 473, 690, 278, 588, 410?
Answer: LCM of 473, 690, 278, 588, 410 is 182278297740.
2. How to calculate the LCM of 473, 690, 278, 588, 410?
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 473, 690, 278, 588, 410.
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}.