Least Common Multiple of 552/93, 776/56, 343/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 552/93, 776/56, 343/247 quickly i.e. 18365592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/93, 776/56, 343/247 is 18365592.

LCM(552/93, 776/56, 343/247) = 18365592

LCM of 552/93, 776/56, 343/247

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 552/93,776/56,343/247

Given numbers are 552/93,776/56,343/247

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 552,776,343

Least Common Multiple of Numerators i.e. LCM of 552,776,343 is 18365592.

GCF of Denominators means GCF of 93,56,247 as per the given fractions.

GCF of 93,56,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,776,343

LCM of Fractions 552/93,776/56,343/247 is 18365592

2 552, 776, 343
2 276, 388, 343
2 138, 194, 343
69, 97, 343

∴ So the LCM of the given numbers is 2 x 2 x 2 x 69 x 97 x 343 = 18365592

Least Common Multiple of 552,776,343 with GCF Formula

Least Common Multiple of 552,776,343 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 552,776,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,776,343) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(552,776,343) x common factors =1 x 8 = 8

LCM(552,776,343) = ( 552 × 776 × 343 ) / 8

LCM(552,776,343) = 146924736 / 8

LCM(552,776,343) = 18365592


Lets's calculate GCF of 93,56,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18365592/1

Therefore the LCM of Fractions 552/93,776/56,343/247 is 18365592

Greatest Common Factor of 93,56,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,56,247 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 93,56,247 . The biggest common factor number is the GCF number.
So the greatest common factor 93,56,247 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 552/93, 776/56, 343/247

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 552/93, 776/56, 343/247?

Answer: LCM of Numerators as per given numbers 552/93, 776/56, 343/247 is

LCM of Numerators i.e. for 552,776,343 is 18365592

GCF of denominators i.e. for 93,56,247 is 1.

Thus, LCM of Fractions is 18365592.Finally, LCM of Fractions for 552/93, 776/56, 343/247 is 18365592.