LCM of 198, 312, 748, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 312, 748, 702 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 198, 312, 748, 702. So, keep reading to learn more.
Given numbers are 198,312,748,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,312,748,702 is 525096.
Find LCM of 198,312,748,702 with Prime Factorization
| 2 | 198, 312, 748, 702 |
| 2 | 99, 156, 374, 351 |
| 3 | 99, 78, 187, 351 |
| 3 | 33, 26, 187, 117 |
| 11 | 11, 26, 187, 39 |
| 13 | 1, 26, 17, 39 |
| 1, 2, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 13 x 1 x 2 x 17 x 3 = 525096
Therefore, the lowest common multiple of 198,312,748,702 is 525096.
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.
198 x 312 x 748 x 702 = 32438330496
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,312,748,702, is 2.
Now, the common factors can be found like this.
198:2x 3x 3x 11
312:2x 2x 2x 3x 13
748:2x 2x 11x 17
702:2x 3x 3x 3x 13
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 3x 3x 3x 11x 13 = 30888
Therefore, the value for common factors is 30888.
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 = 32438330496/(2x30888)
LCM = 32438330496/61776
LCM = 525096
Thus, we can understand that the LCM of 198,312,748,702 is 525096.
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FAQs on LCM of 198, 312, 748, 702
1. What is the LCM of 198, 312, 748, 702?
Answer: LCM of 198, 312, 748, 702 is 525096.
2. How to calculate the LCM of 198, 312, 748, 702?
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 198, 312, 748, 702.
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}.