Least Common Multiple of 828, 972, 969, 170

Q: How to Find the LCM of 828, 972, 969, 170 ?

Least Common Multiple of 828, 972, 969, 170 = 36104940 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(828, 972, 969, 170) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 17 x 19 x 23 = 36104940.

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 828, 972, 969, 170 i.e. 36104940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 828, 972, 969, 170 is 36104940.

LCM(828, 972, 969, 170) = 36104940

LCM of 828, 972, 969, 170

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

Least Common Multiple of 828, 972, 969, 170 by common division method
Least Common Multiple of 828, 972, 969, 170 with GCF Formula

Least Common Multiple of 828,972,969,170

Least Common Multiple (LCM) of 828,972,969,170 is 36104940

2	828, 972, 969, 170
2	414, 486, 969, 85
3	207, 243, 969, 85
3	69, 81, 323, 85
17	23, 27, 323, 85
	23, 27, 19, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 23 x 27 x 19 x 5 = 36104940

Least Common Multiple of 828,972,969,170 with GCF Formula

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

We need to calculate greatest common factor of 828,972,969,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,972,969,170) = 1

common factors(in case of two or more numbers have common factors) = 3672

GCF(828,972,969,170) x common factors =1 x 3672 = 3672

LCM(828,972,969,170) = ( 828 × 972 × 969 × 170 ) / 3672

LCM(828,972,969,170) = 132577339680 / 3672

LCM(828,972,969,170) = 36104940

∴ Least Common Multiple of 828,972,969,170 is 36104940

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 828, 972, 969, 170

1. What is the LCM of 828, 972, 969, 170?

Answer: LCM of 828, 972, 969, 170 is 36104940.

2. What are the Factors of 36104940?

Answer: Factors of 36104940 are . There are integers that are factors of 36104940

3. How to Find the LCM of 828, 972, 969, 170 ?

Least Common Multiple of 828, 972, 969, 170.

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(828, 972, 969, 170) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 17 x 19 x 23 = 36104940.