LCM of 630, 355, 669, 931, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 355, 669, 931, 274 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 630, 355, 669, 931, 274. So, keep reading to learn more.
Given numbers are 630,355,669,931,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,355,669,931,274 is 181750648590.
Find LCM of 630,355,669,931,274 with Prime Factorization
| 2 | 630, 355, 669, 931, 274 |
| 3 | 315, 355, 669, 931, 137 |
| 5 | 105, 355, 223, 931, 137 |
| 7 | 21, 71, 223, 931, 137 |
| 3, 71, 223, 133, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 71 x 223 x 133 x 137 = 181750648590
Therefore, the lowest common multiple of 630,355,669,931,274 is 181750648590.
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.
630 x 355 x 669 x 931 x 274 = 38167636203900
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
355 : 1, 5, 71, 355
669 : 1, 3, 223, 669
931 : 1, 7, 19, 49, 133, 931
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,355,669,931,274, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
355:5x 71
669:3x 223
931:7x 7x 19
274:2x 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 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 38167636203900/(1x210)
LCM = 38167636203900/210
LCM = 181750648590
Thus, we can understand that the LCM of 630,355,669,931,274 is 181750648590.
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FAQs on LCM of 630, 355, 669, 931, 274
1. What is the LCM of 630, 355, 669, 931, 274?
Answer: LCM of 630, 355, 669, 931, 274 is 181750648590.
2. How to calculate the LCM of 630, 355, 669, 931, 274?
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 630, 355, 669, 931, 274.
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}.