Least Common Multiple of 829, 740, 128, 496, 945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 829, 740, 128, 496, 945 i.e. 115016388480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 829, 740, 128, 496, 945 is 115016388480.

LCM(829, 740, 128, 496, 945) = 115016388480

LCM of 829, 740, 128, 496, 945

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 829,740,128,496,945

Least Common Multiple (LCM) of 829,740,128,496,945 is 115016388480

2 829, 740, 128, 496, 945
2 829, 370, 64, 248, 945
2 829, 185, 32, 124, 945
2 829, 185, 16, 62, 945
5 829, 185, 8, 31, 945
829, 37, 8, 31, 189

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 829 x 37 x 8 x 31 x 189 = 115016388480

Least Common Multiple of 829,740,128,496,945 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 829,740,128,496,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,740,128,496,945) = 1

common factors(in case of two or more numbers have common factors) = 320

GCF(829,740,128,496,945) x common factors =1 x 320 = 320

LCM(829,740,128,496,945) = ( 829 × 740 × 128 × 496 × 945 ) / 320

LCM(829,740,128,496,945) = 36805244313600 / 320

LCM(829,740,128,496,945) = 115016388480

∴ Least Common Multiple of 829,740,128,496,945 is 115016388480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 829, 740, 128, 496, 945

1. What is the LCM of 829, 740, 128, 496, 945?

Answer: LCM of 829, 740, 128, 496, 945 is 115016388480.

2. What are the Factors of 115016388480?

Answer: Factors of 115016388480 are . There are integers that are factors of 115016388480

3. How to Find the LCM of 829, 740, 128, 496, 945 ?

Least Common Multiple of 829, 740, 128, 496, 945.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(829, 740, 128, 496, 945) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 31 x 37 x 829 = 115016388480.