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LCM of 535, 238, 254, 677

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


Find the LCM of 535, 238, 254, 677 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 535, 238, 254, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,238,254,677

Given numbers are 535,238,254,677

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

The LCM of 535,238,254,677 is 10947706070.

Find LCM of 535,238,254,677 with Prime Factorization


2 535, 238, 254, 677
535, 119, 127, 677

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

2 x 535 x 119 x 127 x 677 = 10947706070

Therefore, the lowest common multiple of 535,238,254,677 is 10947706070.

LCM Formula to Find Lowest Common Multiple of 535,238,254,677

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.

535 x 238 x 254 x 677 = 21895412140

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.

535 : 1, 5, 107, 535

238 : 1, 2, 7, 14, 17, 34, 119, 238

254 : 1, 2, 127, 254

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,238,254,677, is 1.

Now, the common factors can be found like this.

535:5x 107

238:2x 7x 17

254:2x 127

677:677

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 = 21895412140/(1x2)

LCM = 21895412140/2

LCM = 10947706070

Thus, we can understand that the LCM of 535,238,254,677 is 10947706070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 238, 254, 677

1. What is the LCM of 535, 238, 254, 677?

Answer: LCM of 535, 238, 254, 677 is 10947706070.

2. How to calculate the LCM of 535, 238, 254, 677?

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 535, 238, 254, 677.

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}.