LCM of 735, 912, 152, 547, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 912, 152, 547, 596 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 735, 912, 152, 547, 596. So, keep reading to learn more.
Given numbers are 735,912,152,547,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,912,152,547,596 is 18211030320.
Find LCM of 735,912,152,547,596 with Prime Factorization
| 2 | 735, 912, 152, 547, 596 |
| 2 | 735, 456, 76, 547, 298 |
| 2 | 735, 228, 38, 547, 149 |
| 3 | 735, 114, 19, 547, 149 |
| 19 | 245, 38, 19, 547, 149 |
| 245, 2, 1, 547, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 245 x 2 x 1 x 547 x 149 = 18211030320
Therefore, the lowest common multiple of 735,912,152,547,596 is 18211030320.
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.
735 x 912 x 152 x 547 x 596 = 33216919303680
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
152 : 1, 2, 4, 8, 19, 38, 76, 152
547 : 1, 547
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,912,152,547,596, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
912:2x 2x 2x 2x 3x 19
152:2x 2x 2x 19
547:547
596:2x 2x 149
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 2x 3x 19 = 1824
Therefore, the value for common factors is 1824.
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 = 33216919303680/(1x1824)
LCM = 33216919303680/1824
LCM = 18211030320
Thus, we can understand that the LCM of 735,912,152,547,596 is 18211030320.
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FAQs on LCM of 735, 912, 152, 547, 596
1. What is the LCM of 735, 912, 152, 547, 596?
Answer: LCM of 735, 912, 152, 547, 596 is 18211030320.
2. How to calculate the LCM of 735, 912, 152, 547, 596?
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 735, 912, 152, 547, 596.
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}.