LCM of 479, 545, 763, 220, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 545, 763, 220, 650 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 479, 545, 763, 220, 650. So, keep reading to learn more.
Given numbers are 479,545,763,220,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,545,763,220,650 is 5226321100.
Find LCM of 479,545,763,220,650 with Prime Factorization
| 2 | 479, 545, 763, 220, 650 |
| 5 | 479, 545, 763, 110, 325 |
| 109 | 479, 109, 763, 22, 65 |
| 479, 1, 7, 22, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 479 x 1 x 7 x 22 x 65 = 5226321100
Therefore, the lowest common multiple of 479,545,763,220,650 is 5226321100.
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.
479 x 545 x 763 x 220 x 650 = 28483449995000
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.
479 : 1, 479
545 : 1, 5, 109, 545
763 : 1, 7, 109, 763
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,545,763,220,650, is 1.
Now, the common factors can be found like this.
479:479
545:5x 109
763:7x 109
220:2x 2x 5x 11
650:2x 5x 5x 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 5x 5x 109 = 5450
Therefore, the value for common factors is 5450.
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 = 28483449995000/(1x5450)
LCM = 28483449995000/5450
LCM = 5226321100
Thus, we can understand that the LCM of 479,545,763,220,650 is 5226321100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 545, 763, 220, 650
1. What is the LCM of 479, 545, 763, 220, 650?
Answer: LCM of 479, 545, 763, 220, 650 is 5226321100.
2. How to calculate the LCM of 479, 545, 763, 220, 650?
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 479, 545, 763, 220, 650.
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}.