LCM of 504, 373, 763, 746, 597
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 373, 763, 746, 597 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 504, 373, 763, 746, 597. So, keep reading to learn more.
Given numbers are 504,373,763,746,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,373,763,746,597 is 4077734472.
Find LCM of 504,373,763,746,597 with Prime Factorization
| 2 | 504, 373, 763, 746, 597 |
| 3 | 252, 373, 763, 373, 597 |
| 7 | 84, 373, 763, 373, 199 |
| 373 | 12, 373, 109, 373, 199 |
| 12, 1, 109, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 373 x 12 x 1 x 109 x 1 x 199 = 4077734472
Therefore, the lowest common multiple of 504,373,763,746,597 is 4077734472.
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.
504 x 373 x 763 x 746 x 597 = 63881788238352
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
373 : 1, 373
763 : 1, 7, 109, 763
746 : 1, 2, 373, 746
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,373,763,746,597, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
373:373
763:7x 109
746:2x 373
597:3x 199
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 7x 373 = 15666
Therefore, the value for common factors is 15666.
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 = 63881788238352/(1x15666)
LCM = 63881788238352/15666
LCM = 4077734472
Thus, we can understand that the LCM of 504,373,763,746,597 is 4077734472.
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FAQs on LCM of 504, 373, 763, 746, 597
1. What is the LCM of 504, 373, 763, 746, 597?
Answer: LCM of 504, 373, 763, 746, 597 is 4077734472.
2. How to calculate the LCM of 504, 373, 763, 746, 597?
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 504, 373, 763, 746, 597.
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}.