LCM of 737, 627, 190, 930, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 627, 190, 930, 473 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 737, 627, 190, 930, 473. So, keep reading to learn more.
Given numbers are 737,627,190,930,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,627,190,930,473 is 559979970.
Find LCM of 737,627,190,930,473 with Prime Factorization
| 2 | 737, 627, 190, 930, 473 |
| 3 | 737, 627, 95, 465, 473 |
| 5 | 737, 209, 95, 155, 473 |
| 11 | 737, 209, 19, 31, 473 |
| 19 | 67, 19, 19, 31, 43 |
| 67, 1, 1, 31, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 67 x 1 x 1 x 31 x 43 = 559979970
Therefore, the lowest common multiple of 737,627,190,930,473 is 559979970.
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.
737 x 627 x 190 x 930 x 473 = 38621818530900
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.
737 : 1, 11, 67, 737
627 : 1, 3, 11, 19, 33, 57, 209, 627
190 : 1, 2, 5, 10, 19, 38, 95, 190
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,627,190,930,473, is 1.
Now, the common factors can be found like this.
737:11x 67
627:3x 11x 19
190:2x 5x 19
930:2x 3x 5x 31
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 11x 19 = 68970
Therefore, the value for common factors is 68970.
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 = 38621818530900/(1x68970)
LCM = 38621818530900/68970
LCM = 559979970
Thus, we can understand that the LCM of 737,627,190,930,473 is 559979970.
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FAQs on LCM of 737, 627, 190, 930, 473
1. What is the LCM of 737, 627, 190, 930, 473?
Answer: LCM of 737, 627, 190, 930, 473 is 559979970.
2. How to calculate the LCM of 737, 627, 190, 930, 473?
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 737, 627, 190, 930, 473.
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}.