LCM of 298, 526, 770, 847, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 526, 770, 847, 533 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 298, 526, 770, 847, 533. So, keep reading to learn more.
Given numbers are 298,526,770,847,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,526,770,847,533 is 176910103370.
Find LCM of 298,526,770,847,533 with Prime Factorization
| 2 | 298, 526, 770, 847, 533 |
| 7 | 149, 263, 385, 847, 533 |
| 11 | 149, 263, 55, 121, 533 |
| 149, 263, 5, 11, 533 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 149 x 263 x 5 x 11 x 533 = 176910103370
Therefore, the lowest common multiple of 298,526,770,847,533 is 176910103370.
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.
298 x 526 x 770 x 847 x 533 = 54488311837960
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.
298 : 1, 2, 149, 298
526 : 1, 2, 263, 526
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
847 : 1, 7, 11, 77, 121, 847
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,526,770,847,533, is 1.
Now, the common factors can be found like this.
298:2x 149
526:2x 263
770:2x 5x 7x 11
847:7x 11x 11
533:13x 41
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 54488311837960/(1x308)
LCM = 54488311837960/308
LCM = 176910103370
Thus, we can understand that the LCM of 298,526,770,847,533 is 176910103370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 526, 770, 847, 533
1. What is the LCM of 298, 526, 770, 847, 533?
Answer: LCM of 298, 526, 770, 847, 533 is 176910103370.
2. How to calculate the LCM of 298, 526, 770, 847, 533?
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 298, 526, 770, 847, 533.
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}.