Least Common Multiple of 8940/504, 1986/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8940/504, 1986/414 quickly i.e. 2959140/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8940/504, 1986/414 is 2959140/18.

LCM(8940/504, 1986/414) = 2959140/18

LCM of 8940/504, 1986/414

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8940/504,1986/414

Given numbers are 8940/504,1986/414

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8940,1986

Least Common Multiple of Numerators i.e. LCM of 8940,1986 is 2959140.

GCF of Denominators means GCF of 504,414 as per the given fractions.

GCF of 504,414 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8940,1986

LCM of Fractions 8940/504,1986/414 is 2959140/18

2 8940, 1986
3 4470, 993
1490, 331

∴ So the LCM of the given numbers is 2 x 3 x 1490 x 331 = 2959140

Least Common Multiple of 8940,1986 with GCF Formula

Least Common Multiple of 8940,1986 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 8940,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8940,1986) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(8940,1986) x common factors =6 x 1 = 6

LCM(8940,1986) = ( 8940 × 1986 ) / 6

LCM(8940,1986) = 17754840 / 6

LCM(8940,1986) = 2959140


Lets's calculate GCF of 504,414

2 504, 414
3 252, 207
3 84, 69
28, 23

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2959140/18

Therefore the LCM of Fractions 8940/504,1986/414 is 2959140/18

Greatest Common Factor of 504,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,414 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 504,414 . The biggest common factor number is the GCF number.
So the greatest common factor 504,414 is 18.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8940/504, 1986/414

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8940/504, 1986/414?

Answer: LCM of Numerators as per given numbers 8940/504, 1986/414 is

LCM of Numerators i.e. for 8940,1986 is 2959140

GCF of denominators i.e. for 504,414 is 18.

Thus, LCM of Fractions is 2959140/18.Finally, LCM of Fractions for 8940/504, 1986/414 is 2959140/18.