LCM of 787, 152, 737, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 152, 737, 209 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 787, 152, 737, 209. So, keep reading to learn more.
Given numbers are 787,152,737,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,152,737,209 is 88162888.
Find LCM of 787,152,737,209 with Prime Factorization
| 11 | 787, 152, 737, 209 |
| 19 | 787, 152, 67, 19 |
| 787, 8, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 787 x 8 x 67 x 1 = 88162888
Therefore, the lowest common multiple of 787,152,737,209 is 88162888.
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.
787 x 152 x 737 x 209 = 18426043592
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.
787 : 1, 787
152 : 1, 2, 4, 8, 19, 38, 76, 152
737 : 1, 11, 67, 737
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,152,737,209, is 1.
Now, the common factors can be found like this.
787:787
152:2x 2x 2x 19
737:11x 67
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 18426043592/(1x209)
LCM = 18426043592/209
LCM = 88162888
Thus, we can understand that the LCM of 787,152,737,209 is 88162888.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 152, 737, 209
1. What is the LCM of 787, 152, 737, 209?
Answer: LCM of 787, 152, 737, 209 is 88162888.
2. How to calculate the LCM of 787, 152, 737, 209?
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 787, 152, 737, 209.
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}.