Least Common Multiple of 6747/145, 9244/1700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6747/145, 9244/1700 quickly i.e. 62369268/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6747/145, 9244/1700 is 62369268/5.

LCM(6747/145, 9244/1700) = 62369268/5

LCM of 6747/145, 9244/1700

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 6747/145,9244/1700

Given numbers are 6747/145,9244/1700

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 6747,9244

Least Common Multiple of Numerators i.e. LCM of 6747,9244 is 62369268.

GCF of Denominators means GCF of 145,1700 as per the given fractions.

GCF of 145,1700 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6747,9244

LCM of Fractions 6747/145,9244/1700 is 62369268/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 62369268

Least Common Multiple of 6747,9244 with GCF Formula

Least Common Multiple of 6747,9244 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 6747,9244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6747,9244) = 1

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

GCF(6747,9244) x common factors =1 x 1 = 1

LCM(6747,9244) = ( 6747 × 9244 ) / 1

LCM(6747,9244) = 62369268 / 1

LCM(6747,9244) = 62369268


Lets's calculate GCF of 145,1700

5 145, 1700
29, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62369268/5

Therefore the LCM of Fractions 6747/145,9244/1700 is 62369268/5

Greatest Common Factor of 145,1700 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,1700 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Greatest Common Factor

We found the factors 145,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 145,1700 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6747/145, 9244/1700

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 6747/145, 9244/1700?

Answer: LCM of Numerators as per given numbers 6747/145, 9244/1700 is

LCM of Numerators i.e. for 6747,9244 is 62369268

GCF of denominators i.e. for 145,1700 is 5.

Thus, LCM of Fractions is 62369268/5.Finally, LCM of Fractions for 6747/145, 9244/1700 is 62369268/5.