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LCM of 947, 758, 643, 769, 262

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


Find the LCM of 947, 758, 643, 769, 262 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 947, 758, 643, 769, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 947,758,643,769,262

Given numbers are 947,758,643,769,262

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

The LCM of 947,758,643,769,262 is 46497306205202.

Find LCM of 947,758,643,769,262 with Prime Factorization


2 947, 758, 643, 769, 262
947, 379, 643, 769, 131

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

2 x 947 x 379 x 643 x 769 x 131 = 46497306205202

Therefore, the lowest common multiple of 947,758,643,769,262 is 46497306205202.

LCM Formula to Find Lowest Common Multiple of 947,758,643,769,262

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.

947 x 758 x 643 x 769 x 262 = 92994612410404

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.

947 : 1, 947

758 : 1, 2, 379, 758

643 : 1, 643

769 : 1, 769

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,758,643,769,262, is 1.

Now, the common factors can be found like this.

947:947

758:2x 379

643:643

769:769

262:2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 92994612410404/(1x2)

LCM = 92994612410404/2

LCM = 46497306205202

Thus, we can understand that the LCM of 947,758,643,769,262 is 46497306205202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 947, 758, 643, 769, 262

1. What is the LCM of 947, 758, 643, 769, 262?

Answer: LCM of 947, 758, 643, 769, 262 is 46497306205202.

2. How to calculate the LCM of 947, 758, 643, 769, 262?

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 947, 758, 643, 769, 262.

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}.