LCM of 751, 506, 376, 722, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 506, 376, 722, 988 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 751, 506, 376, 722, 988. So, keep reading to learn more.
Given numbers are 751,506,376,722,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,506,376,722,988 is 335273213704.
Find LCM of 751,506,376,722,988 with Prime Factorization
| 2 | 751, 506, 376, 722, 988 |
| 2 | 751, 253, 188, 361, 494 |
| 19 | 751, 253, 94, 361, 247 |
| 751, 253, 94, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 751 x 253 x 94 x 19 x 13 = 335273213704
Therefore, the lowest common multiple of 751,506,376,722,988 is 335273213704.
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.
751 x 506 x 376 x 722 x 988 = 101923056966016
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.
751 : 1, 751
506 : 1, 2, 11, 22, 23, 46, 253, 506
376 : 1, 2, 4, 8, 47, 94, 188, 376
722 : 1, 2, 19, 38, 361, 722
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,506,376,722,988, is 1.
Now, the common factors can be found like this.
751:751
506:2x 11x 23
376:2x 2x 2x 47
722:2x 19x 19
988:2x 2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 101923056966016/(1x304)
LCM = 101923056966016/304
LCM = 335273213704
Thus, we can understand that the LCM of 751,506,376,722,988 is 335273213704.
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FAQs on LCM of 751, 506, 376, 722, 988
1. What is the LCM of 751, 506, 376, 722, 988?
Answer: LCM of 751, 506, 376, 722, 988 is 335273213704.
2. How to calculate the LCM of 751, 506, 376, 722, 988?
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 751, 506, 376, 722, 988.
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}.