LCM of 742, 432, 403, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 432, 403, 318 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, 432, 403, 318. So, keep reading to learn more.
Given numbers are 742,432,403,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,432,403,318 is 64589616.
Find LCM of 742,432,403,318 with Prime Factorization
| 2 | 742, 432, 403, 318 |
| 3 | 371, 216, 403, 159 |
| 53 | 371, 72, 403, 53 |
| 7, 72, 403, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 7 x 72 x 403 x 1 = 64589616
Therefore, the lowest common multiple of 742,432,403,318 is 64589616.
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 432 x 403 x 318 = 41078995776
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
403 : 1, 13, 31, 403
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,432,403,318, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
432:2x 2x 2x 2x 3x 3x 3
403:13x 31
318:2x 3x 53
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 3x 53 = 636
Therefore, the value for common factors is 636.
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 = 41078995776/(1x636)
LCM = 41078995776/636
LCM = 64589616
Thus, we can understand that the LCM of 742,432,403,318 is 64589616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 742, 432, 403, 318
1. What is the LCM of 742, 432, 403, 318?
Answer: LCM of 742, 432, 403, 318 is 64589616.
2. How to calculate the LCM of 742, 432, 403, 318?
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, 432, 403, 318.
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}.