LCM of 477, 407, 710, 314, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 407, 710, 314, 112 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 477, 407, 710, 314, 112. So, keep reading to learn more.
Given numbers are 477,407,710,314,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,407,710,314,112 is 1211877762480.
Find LCM of 477,407,710,314,112 with Prime Factorization
| 2 | 477, 407, 710, 314, 112 |
| 477, 407, 355, 157, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 477 x 407 x 355 x 157 x 56 = 1211877762480
Therefore, the lowest common multiple of 477,407,710,314,112 is 1211877762480.
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.
477 x 407 x 710 x 314 x 112 = 4847511049920
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.
477 : 1, 3, 9, 53, 159, 477
407 : 1, 11, 37, 407
710 : 1, 2, 5, 10, 71, 142, 355, 710
314 : 1, 2, 157, 314
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,407,710,314,112, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
407:11x 37
710:2x 5x 71
314:2x 157
112:2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 4847511049920/(1x4)
LCM = 4847511049920/4
LCM = 1211877762480
Thus, we can understand that the LCM of 477,407,710,314,112 is 1211877762480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 477, 407, 710, 314, 112
1. What is the LCM of 477, 407, 710, 314, 112?
Answer: LCM of 477, 407, 710, 314, 112 is 1211877762480.
2. How to calculate the LCM of 477, 407, 710, 314, 112?
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 477, 407, 710, 314, 112.
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}.