Least Common Multiple of 929/51, 709/63, 123/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 929/51, 709/63, 123/92 quickly i.e. 81015303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/51, 709/63, 123/92 is 81015303.

LCM(929/51, 709/63, 123/92) = 81015303

LCM of 929/51, 709/63, 123/92

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 929/51,709/63,123/92

Given numbers are 929/51,709/63,123/92

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 929,709,123

Least Common Multiple of Numerators i.e. LCM of 929,709,123 is 81015303.

GCF of Denominators means GCF of 51,63,92 as per the given fractions.

GCF of 51,63,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,709,123

LCM of Fractions 929/51,709/63,123/92 is 81015303

Given numbers has no common factors except 1. So, there LCM is their product i.e 81015303

Least Common Multiple of 929,709,123 with GCF Formula

Least Common Multiple of 929,709,123 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 929,709,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,709,123) = 1

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

GCF(929,709,123) x common factors =1 x 1 = 1

LCM(929,709,123) = ( 929 × 709 × 123 ) / 1

LCM(929,709,123) = 81015303 / 1

LCM(929,709,123) = 81015303


Lets's calculate GCF of 51,63,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81015303/1

Therefore the LCM of Fractions 929/51,709/63,123/92 is 81015303

Greatest Common Factor of 51,63,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,63,92 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 51,63,92 . The biggest common factor number is the GCF number.
So the greatest common factor 51,63,92 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 929/51, 709/63, 123/92

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 929/51, 709/63, 123/92?

Answer: LCM of Numerators as per given numbers 929/51, 709/63, 123/92 is

LCM of Numerators i.e. for 929,709,123 is 81015303

GCF of denominators i.e. for 51,63,92 is 1.

Thus, LCM of Fractions is 81015303.Finally, LCM of Fractions for 929/51, 709/63, 123/92 is 81015303.