Least Common Multiple of 53/474, 543/785, 137/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/474, 543/785, 137/214 quickly i.e. 3942723 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/474, 543/785, 137/214 is 3942723.

LCM(53/474, 543/785, 137/214) = 3942723

LCM of 53/474, 543/785, 137/214

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 53/474,543/785,137/214

Given numbers are 53/474,543/785,137/214

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 53,543,137

Least Common Multiple of Numerators i.e. LCM of 53,543,137 is 3942723.

GCF of Denominators means GCF of 474,785,214 as per the given fractions.

GCF of 474,785,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,543,137

LCM of Fractions 53/474,543/785,137/214 is 3942723

Given numbers has no common factors except 1. So, there LCM is their product i.e 3942723

Least Common Multiple of 53,543,137 with GCF Formula

Least Common Multiple of 53,543,137 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 53,543,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,543,137) = 1

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

GCF(53,543,137) x common factors =1 x 1 = 1

LCM(53,543,137) = ( 53 × 543 × 137 ) / 1

LCM(53,543,137) = 3942723 / 1

LCM(53,543,137) = 3942723


Lets's calculate GCF of 474,785,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3942723/1

Therefore the LCM of Fractions 53/474,543/785,137/214 is 3942723

Greatest Common Factor of 474,785,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,785,214 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 474,785,214 . The biggest common factor number is the GCF number.
So the greatest common factor 474,785,214 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/474, 543/785, 137/214

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 53/474, 543/785, 137/214?

Answer: LCM of Numerators as per given numbers 53/474, 543/785, 137/214 is

LCM of Numerators i.e. for 53,543,137 is 3942723

GCF of denominators i.e. for 474,785,214 is 1.

Thus, LCM of Fractions is 3942723.Finally, LCM of Fractions for 53/474, 543/785, 137/214 is 3942723.