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LCM of 210, 760, 144, 947

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 210, 760, 144, 947 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 210, 760, 144, 947. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,760,144,947

Given numbers are 210,760,144,947

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 210,760,144,947 is 90684720.

Find LCM of 210,760,144,947 with Prime Factorization


2 210, 760, 144, 947
2 105, 380, 72, 947
2 105, 190, 36, 947
3 105, 95, 18, 947
5 35, 95, 6, 947
7, 19, 6, 947

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 5 x 7 x 19 x 6 x 947 = 90684720

Therefore, the lowest common multiple of 210,760,144,947 is 90684720.

LCM Formula to Find Lowest Common Multiple of 210,760,144,947

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.

210 x 760 x 144 x 947 = 21764332800

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,760,144,947, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

760:2x 2x 2x 5x 19

144:2x 2x 2x 2x 3x 3

947:947

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 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 21764332800/(1x240)

LCM = 21764332800/240

LCM = 90684720

Thus, we can understand that the LCM of 210,760,144,947 is 90684720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 760, 144, 947

1. What is the LCM of 210, 760, 144, 947?

Answer: LCM of 210, 760, 144, 947 is 90684720.

2. How to calculate the LCM of 210, 760, 144, 947?

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 210, 760, 144, 947.

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}.