Least Common Multiple of 4769/53, 7267/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4769/53, 7267/125 quickly i.e. 34656323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4769/53, 7267/125 is 34656323.

LCM(4769/53, 7267/125) = 34656323

LCM of 4769/53, 7267/125

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 4769/53,7267/125

Given numbers are 4769/53,7267/125

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 4769,7267

Least Common Multiple of Numerators i.e. LCM of 4769,7267 is 34656323.

GCF of Denominators means GCF of 53,125 as per the given fractions.

GCF of 53,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4769,7267

LCM of Fractions 4769/53,7267/125 is 34656323

Given numbers has no common factors except 1. So, there LCM is their product i.e 34656323

Least Common Multiple of 4769,7267 with GCF Formula

Least Common Multiple of 4769,7267 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 4769,7267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4769,7267) = 1

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

GCF(4769,7267) x common factors =1 x 1 = 1

LCM(4769,7267) = ( 4769 × 7267 ) / 1

LCM(4769,7267) = 34656323 / 1

LCM(4769,7267) = 34656323


Lets's calculate GCF of 53,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34656323/1

Therefore the LCM of Fractions 4769/53,7267/125 is 34656323

Greatest Common Factor of 53,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,125 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 53,125 . The biggest common factor number is the GCF number.
So the greatest common factor 53,125 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4769/53, 7267/125

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 4769/53, 7267/125?

Answer: LCM of Numerators as per given numbers 4769/53, 7267/125 is

LCM of Numerators i.e. for 4769,7267 is 34656323

GCF of denominators i.e. for 53,125 is 1.

Thus, LCM of Fractions is 34656323.Finally, LCM of Fractions for 4769/53, 7267/125 is 34656323.