Least Common Multiple of 4008/140, 3346/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4008/140, 3346/985 quickly i.e. 6705384/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4008/140, 3346/985 is 6705384/5.

LCM(4008/140, 3346/985) = 6705384/5

LCM of 4008/140, 3346/985

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 4008/140,3346/985

Given numbers are 4008/140,3346/985

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 4008,3346

Least Common Multiple of Numerators i.e. LCM of 4008,3346 is 6705384.

GCF of Denominators means GCF of 140,985 as per the given fractions.

GCF of 140,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4008,3346

LCM of Fractions 4008/140,3346/985 is 6705384/5

2 4008, 3346
2004, 1673

∴ So the LCM of the given numbers is 2 x 2004 x 1673 = 6705384

Least Common Multiple of 4008,3346 with GCF Formula

Least Common Multiple of 4008,3346 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 4008,3346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4008,3346) = 2

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

GCF(4008,3346) x common factors =2 x 1 = 2

LCM(4008,3346) = ( 4008 × 3346 ) / 2

LCM(4008,3346) = 13410768 / 2

LCM(4008,3346) = 6705384


Lets's calculate GCF of 140,985

5 140, 985
28, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6705384/5

Therefore the LCM of Fractions 4008/140,3346/985 is 6705384/5

Greatest Common Factor of 140,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,985 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 140,985 . The biggest common factor number is the GCF number.
So the greatest common factor 140,985 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4008/140, 3346/985

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 4008/140, 3346/985?

Answer: LCM of Numerators as per given numbers 4008/140, 3346/985 is

LCM of Numerators i.e. for 4008,3346 is 6705384

GCF of denominators i.e. for 140,985 is 5.

Thus, LCM of Fractions is 6705384/5.Finally, LCM of Fractions for 4008/140, 3346/985 is 6705384/5.