LCM of 918, 749, 360, 318, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 749, 360, 318, 530 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 918, 749, 360, 318, 530. So, keep reading to learn more.
Given numbers are 918,749,360,318,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,749,360,318,530 is 728836920.
Find LCM of 918,749,360,318,530 with Prime Factorization
| 2 | 918, 749, 360, 318, 530 |
| 3 | 459, 749, 180, 159, 265 |
| 3 | 153, 749, 60, 53, 265 |
| 5 | 51, 749, 20, 53, 265 |
| 53 | 51, 749, 4, 53, 53 |
| 51, 749, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 53 x 51 x 749 x 4 x 1 x 1 = 728836920
Therefore, the lowest common multiple of 918,749,360,318,530 is 728836920.
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.
918 x 749 x 360 x 318 x 530 = 41718625300800
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
749 : 1, 7, 107, 749
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
318 : 1, 2, 3, 6, 53, 106, 159, 318
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,749,360,318,530, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
749:7x 107
360:2x 2x 2x 3x 3x 5
318:2x 3x 53
530:2x 5x 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 2x 3x 3x 3x 5x 53 = 57240
Therefore, the value for common factors is 57240.
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 = 41718625300800/(1x57240)
LCM = 41718625300800/57240
LCM = 728836920
Thus, we can understand that the LCM of 918,749,360,318,530 is 728836920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 918, 749, 360, 318, 530
1. What is the LCM of 918, 749, 360, 318, 530?
Answer: LCM of 918, 749, 360, 318, 530 is 728836920.
2. How to calculate the LCM of 918, 749, 360, 318, 530?
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 918, 749, 360, 318, 530.
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}.