LCM of 542, 575, 441, 109, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 575, 441, 109, 312 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 542, 575, 441, 109, 312. So, keep reading to learn more.
Given numbers are 542,575,441,109,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,575,441,109,312 is 778996600200.
Find LCM of 542,575,441,109,312 with Prime Factorization
| 2 | 542, 575, 441, 109, 312 |
| 3 | 271, 575, 441, 109, 156 |
| 271, 575, 147, 109, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 575 x 147 x 109 x 52 = 778996600200
Therefore, the lowest common multiple of 542,575,441,109,312 is 778996600200.
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.
542 x 575 x 441 x 109 x 312 = 4673979601200
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.
542 : 1, 2, 271, 542
575 : 1, 5, 23, 25, 115, 575
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
109 : 1, 109
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,575,441,109,312, is 1.
Now, the common factors can be found like this.
542:2x 271
575:5x 5x 23
441:3x 3x 7x 7
109:109
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 4673979601200/(1x6)
LCM = 4673979601200/6
LCM = 778996600200
Thus, we can understand that the LCM of 542,575,441,109,312 is 778996600200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 575, 441, 109, 312
1. What is the LCM of 542, 575, 441, 109, 312?
Answer: LCM of 542, 575, 441, 109, 312 is 778996600200.
2. How to calculate the LCM of 542, 575, 441, 109, 312?
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 542, 575, 441, 109, 312.
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}.