LCM of 918, 916, 692, 723, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 916, 692, 723, 300 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, 916, 692, 723, 300. So, keep reading to learn more.
Given numbers are 918,916,692,723,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,916,692,723,300 is 438239292300.
Find LCM of 918,916,692,723,300 with Prime Factorization
| 2 | 918, 916, 692, 723, 300 |
| 2 | 459, 458, 346, 723, 150 |
| 3 | 459, 229, 173, 723, 75 |
| 153, 229, 173, 241, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 153 x 229 x 173 x 241 x 25 = 438239292300
Therefore, the lowest common multiple of 918,916,692,723,300 is 438239292300.
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 916 x 692 x 723 x 300 = 126212916182400
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
916 : 1, 2, 4, 229, 458, 916
692 : 1, 2, 4, 173, 346, 692
723 : 1, 3, 241, 723
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,916,692,723,300, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
916:2x 2x 229
692:2x 2x 173
723:3x 241
300:2x 2x 3x 5x 5
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 3 = 288
Therefore, the value for common factors is 288.
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 = 126212916182400/(1x288)
LCM = 126212916182400/288
LCM = 438239292300
Thus, we can understand that the LCM of 918,916,692,723,300 is 438239292300.
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FAQs on LCM of 918, 916, 692, 723, 300
1. What is the LCM of 918, 916, 692, 723, 300?
Answer: LCM of 918, 916, 692, 723, 300 is 438239292300.
2. How to calculate the LCM of 918, 916, 692, 723, 300?
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, 916, 692, 723, 300.
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}.