LCM of 742, 600, 865, 476, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 600, 865, 476, 473 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 742, 600, 865, 476, 473. So, keep reading to learn more.
Given numbers are 742,600,865,476,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,600,865,476,473 is 309657301800.
Find LCM of 742,600,865,476,473 with Prime Factorization
| 2 | 742, 600, 865, 476, 473 |
| 2 | 371, 300, 865, 238, 473 |
| 5 | 371, 150, 865, 119, 473 |
| 7 | 371, 30, 173, 119, 473 |
| 53, 30, 173, 17, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 53 x 30 x 173 x 17 x 473 = 309657301800
Therefore, the lowest common multiple of 742,600,865,476,473 is 309657301800.
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.
742 x 600 x 865 x 476 x 473 = 86704044504000
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
865 : 1, 5, 173, 865
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,600,865,476,473, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
600:2x 2x 2x 3x 5x 5
865:5x 173
476:2x 2x 7x 17
473:11x 43
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 86704044504000/(1x280)
LCM = 86704044504000/280
LCM = 309657301800
Thus, we can understand that the LCM of 742,600,865,476,473 is 309657301800.
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FAQs on LCM of 742, 600, 865, 476, 473
1. What is the LCM of 742, 600, 865, 476, 473?
Answer: LCM of 742, 600, 865, 476, 473 is 309657301800.
2. How to calculate the LCM of 742, 600, 865, 476, 473?
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 742, 600, 865, 476, 473.
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}.