LCM of 901, 528, 974, 567, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 528, 974, 567, 548 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 901, 528, 974, 567, 548. So, keep reading to learn more.
Given numbers are 901,528,974,567,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,528,974,567,548 is 5998878225648.
Find LCM of 901,528,974,567,548 with Prime Factorization
| 2 | 901, 528, 974, 567, 548 |
| 2 | 901, 264, 487, 567, 274 |
| 3 | 901, 132, 487, 567, 137 |
| 901, 44, 487, 189, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 901 x 44 x 487 x 189 x 137 = 5998878225648
Therefore, the lowest common multiple of 901,528,974,567,548 is 5998878225648.
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.
901 x 528 x 974 x 567 x 548 = 143973077415552
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.
901 : 1, 17, 53, 901
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
974 : 1, 2, 487, 974
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,528,974,567,548, is 1.
Now, the common factors can be found like this.
901:17x 53
528:2x 2x 2x 2x 3x 11
974:2x 487
567:3x 3x 3x 3x 7
548:2x 2x 137
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 3 = 24
Therefore, the value for common factors is 24.
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 = 143973077415552/(1x24)
LCM = 143973077415552/24
LCM = 5998878225648
Thus, we can understand that the LCM of 901,528,974,567,548 is 5998878225648.
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FAQs on LCM of 901, 528, 974, 567, 548
1. What is the LCM of 901, 528, 974, 567, 548?
Answer: LCM of 901, 528, 974, 567, 548 is 5998878225648.
2. How to calculate the LCM of 901, 528, 974, 567, 548?
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 901, 528, 974, 567, 548.
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}.