Least Common Multiple of 43/41, 224/86, 130/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/41, 224/86, 130/504 quickly i.e. 626080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/41, 224/86, 130/504 is 626080.

LCM(43/41, 224/86, 130/504) = 626080

LCM of 43/41, 224/86, 130/504

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 43/41,224/86,130/504

Given numbers are 43/41,224/86,130/504

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 43,224,130

Least Common Multiple of Numerators i.e. LCM of 43,224,130 is 626080.

GCF of Denominators means GCF of 41,86,504 as per the given fractions.

GCF of 41,86,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,224,130

LCM of Fractions 43/41,224/86,130/504 is 626080

2 43, 224, 130
43, 112, 65

∴ So the LCM of the given numbers is 2 x 43 x 112 x 65 = 626080

Least Common Multiple of 43,224,130 with GCF Formula

Least Common Multiple of 43,224,130 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 43,224,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,224,130) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,224,130) x common factors =1 x 2 = 2

LCM(43,224,130) = ( 43 × 224 × 130 ) / 2

LCM(43,224,130) = 1252160 / 2

LCM(43,224,130) = 626080


Lets's calculate GCF of 41,86,504

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 626080/1

Therefore the LCM of Fractions 43/41,224/86,130/504 is 626080

Greatest Common Factor of 41,86,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,86,504 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

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

Greatest Common Factor

We found the factors 41,86,504 . The biggest common factor number is the GCF number.
So the greatest common factor 41,86,504 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/41, 224/86, 130/504

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 43/41, 224/86, 130/504?

Answer: LCM of Numerators as per given numbers 43/41, 224/86, 130/504 is

LCM of Numerators i.e. for 43,224,130 is 626080

GCF of denominators i.e. for 41,86,504 is 1.

Thus, LCM of Fractions is 626080.Finally, LCM of Fractions for 43/41, 224/86, 130/504 is 626080.