LCM of 373, 475, 361, 542, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 475, 361, 542, 664 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 373, 475, 361, 542, 664. So, keep reading to learn more.
Given numbers are 373,475,361,542,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,475,361,542,664 is 605749985800.
Find LCM of 373,475,361,542,664 with Prime Factorization
| 2 | 373, 475, 361, 542, 664 |
| 19 | 373, 475, 361, 271, 332 |
| 373, 25, 19, 271, 332 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 373 x 25 x 19 x 271 x 332 = 605749985800
Therefore, the lowest common multiple of 373,475,361,542,664 is 605749985800.
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.
373 x 475 x 361 x 542 x 664 = 23018499460400
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.
373 : 1, 373
475 : 1, 5, 19, 25, 95, 475
361 : 1, 19, 361
542 : 1, 2, 271, 542
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,475,361,542,664, is 1.
Now, the common factors can be found like this.
373:373
475:5x 5x 19
361:19x 19
542:2x 271
664:2x 2x 2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 23018499460400/(1x38)
LCM = 23018499460400/38
LCM = 605749985800
Thus, we can understand that the LCM of 373,475,361,542,664 is 605749985800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 475, 361, 542, 664
1. What is the LCM of 373, 475, 361, 542, 664?
Answer: LCM of 373, 475, 361, 542, 664 is 605749985800.
2. How to calculate the LCM of 373, 475, 361, 542, 664?
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 373, 475, 361, 542, 664.
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}.