LCM of 490, 707, 483, 303, 177
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 707, 483, 303, 177 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 490, 707, 483, 303, 177. So, keep reading to learn more.
Given numbers are 490,707,483,303,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,707,483,303,177 is 201473790.
Find LCM of 490,707,483,303,177 with Prime Factorization
| 3 | 490, 707, 483, 303, 177 |
| 7 | 490, 707, 161, 101, 59 |
| 101 | 70, 101, 23, 101, 59 |
| 70, 1, 23, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 101 x 70 x 1 x 23 x 1 x 59 = 201473790
Therefore, the lowest common multiple of 490,707,483,303,177 is 201473790.
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.
490 x 707 x 483 x 303 x 177 = 8973844080390
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
707 : 1, 7, 101, 707
483 : 1, 3, 7, 21, 23, 69, 161, 483
303 : 1, 3, 101, 303
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,707,483,303,177, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
707:7x 101
483:3x 7x 23
303:3x 101
177:3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 101 = 44541
Therefore, the value for common factors is 44541.
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 = 8973844080390/(1x44541)
LCM = 8973844080390/44541
LCM = 201473790
Thus, we can understand that the LCM of 490,707,483,303,177 is 201473790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 490, 707, 483, 303, 177
1. What is the LCM of 490, 707, 483, 303, 177?
Answer: LCM of 490, 707, 483, 303, 177 is 201473790.
2. How to calculate the LCM of 490, 707, 483, 303, 177?
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 490, 707, 483, 303, 177.
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}.