Least Common Multiple of 140/220, 329/252, 983/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 140/220, 329/252, 983/626 quickly i.e. 3234070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/220, 329/252, 983/626 is 3234070.

LCM(140/220, 329/252, 983/626) = 3234070

LCM of 140/220, 329/252, 983/626

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 140/220,329/252,983/626

Given numbers are 140/220,329/252,983/626

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 140,329,983

Least Common Multiple of Numerators i.e. LCM of 140,329,983 is 6468140.

GCF of Denominators means GCF of 220,252,626 as per the given fractions.

GCF of 220,252,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,329,983

LCM of Fractions 140/220,329/252,983/626 is 3234070

7 140, 329, 983
20, 47, 983

∴ So the LCM of the given numbers is 7 x 20 x 47 x 983 = 6468140

Least Common Multiple of 140,329,983 with GCF Formula

Least Common Multiple of 140,329,983 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 140,329,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,329,983) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(140,329,983) x common factors =1 x 7 = 7

LCM(140,329,983) = ( 140 × 329 × 983 ) / 7

LCM(140,329,983) = 45276980 / 7

LCM(140,329,983) = 6468140


Lets's calculate GCF of 220,252,626

2 220, 252, 626
110, 126, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6468140/2

Therefore the LCM of Fractions 140/220,329/252,983/626 is 3234070

Greatest Common Factor of 220,252,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,252,626 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 220,252,626 . The biggest common factor number is the GCF number.
So the greatest common factor 220,252,626 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 140/220, 329/252, 983/626

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 140/220, 329/252, 983/626?

Answer: LCM of Numerators as per given numbers 140/220, 329/252, 983/626 is

LCM of Numerators i.e. for 140,329,983 is 6468140

GCF of denominators i.e. for 220,252,626 is 2.

Thus, LCM of Fractions is 3234070.Finally, LCM of Fractions for 140/220, 329/252, 983/626 is 3234070.