LCM of 737, 893, 322, 851, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 893, 322, 851, 564 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, 893, 322, 851, 564. So, keep reading to learn more.
Given numbers are 737,893,322,851,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,893,322,851,564 is 47046551244.
Find LCM of 737,893,322,851,564 with Prime Factorization
| 2 | 737, 893, 322, 851, 564 |
| 23 | 737, 893, 161, 851, 282 |
| 47 | 737, 893, 7, 37, 282 |
| 737, 19, 7, 37, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 47 x 737 x 19 x 7 x 37 x 6 = 47046551244
Therefore, the lowest common multiple of 737,893,322,851,564 is 47046551244.
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 893 x 322 x 851 x 564 = 101714643789528
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
893 : 1, 19, 47, 893
322 : 1, 2, 7, 14, 23, 46, 161, 322
851 : 1, 23, 37, 851
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,893,322,851,564, is 1.
Now, the common factors can be found like this.
737:11x 67
893:19x 47
322:2x 7x 23
851:23x 37
564:2x 2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 47 = 2162
Therefore, the value for common factors is 2162.
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 = 101714643789528/(1x2162)
LCM = 101714643789528/2162
LCM = 47046551244
Thus, we can understand that the LCM of 737,893,322,851,564 is 47046551244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 893, 322, 851, 564
1. What is the LCM of 737, 893, 322, 851, 564?
Answer: LCM of 737, 893, 322, 851, 564 is 47046551244.
2. How to calculate the LCM of 737, 893, 322, 851, 564?
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, 893, 322, 851, 564.
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}.