Least Common Multiple of 57/10, 56/30, 463/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/10, 56/30, 463/342 quickly i.e. 738948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/10, 56/30, 463/342 is 738948.

LCM(57/10, 56/30, 463/342) = 738948

LCM of 57/10, 56/30, 463/342

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 57/10,56/30,463/342

Given numbers are 57/10,56/30,463/342

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 57,56,463

Least Common Multiple of Numerators i.e. LCM of 57,56,463 is 1477896.

GCF of Denominators means GCF of 10,30,342 as per the given fractions.

GCF of 10,30,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,56,463

LCM of Fractions 57/10,56/30,463/342 is 738948

Given numbers has no common factors except 1. So, there LCM is their product i.e 1477896

Least Common Multiple of 57,56,463 with GCF Formula

Least Common Multiple of 57,56,463 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 57,56,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,56,463) = 1

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

GCF(57,56,463) x common factors =1 x 1 = 1

LCM(57,56,463) = ( 57 × 56 × 463 ) / 1

LCM(57,56,463) = 1477896 / 1

LCM(57,56,463) = 1477896


Lets's calculate GCF of 10,30,342

2 10, 30, 342
5, 15, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1477896/2

Therefore the LCM of Fractions 57/10,56/30,463/342 is 738948

Greatest Common Factor of 10,30,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,30,342 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 10,30,342 . The biggest common factor number is the GCF number.
So the greatest common factor 10,30,342 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 57/10, 56/30, 463/342

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 57/10, 56/30, 463/342?

Answer: LCM of Numerators as per given numbers 57/10, 56/30, 463/342 is

LCM of Numerators i.e. for 57,56,463 is 1477896

GCF of denominators i.e. for 10,30,342 is 2.

Thus, LCM of Fractions is 738948.Finally, LCM of Fractions for 57/10, 56/30, 463/342 is 738948.