Least Common Multiple of 430/93, 206/11, 156/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 430/93, 206/11, 156/316 quickly i.e. 3454620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/93, 206/11, 156/316 is 3454620.

LCM(430/93, 206/11, 156/316) = 3454620

LCM of 430/93, 206/11, 156/316

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 430/93,206/11,156/316

Given numbers are 430/93,206/11,156/316

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 430,206,156

Least Common Multiple of Numerators i.e. LCM of 430,206,156 is 3454620.

GCF of Denominators means GCF of 93,11,316 as per the given fractions.

GCF of 93,11,316 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,206,156

LCM of Fractions 430/93,206/11,156/316 is 3454620

2 430, 206, 156
215, 103, 78

∴ So the LCM of the given numbers is 2 x 215 x 103 x 78 = 3454620

Least Common Multiple of 430,206,156 with GCF Formula

Least Common Multiple of 430,206,156 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 430,206,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,206,156) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(430,206,156) x common factors =2 x 2 = 4

LCM(430,206,156) = ( 430 × 206 × 156 ) / 4

LCM(430,206,156) = 13818480 / 4

LCM(430,206,156) = 3454620


Lets's calculate GCF of 93,11,316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3454620/1

Therefore the LCM of Fractions 430/93,206/11,156/316 is 3454620

Greatest Common Factor of 93,11,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,11,316 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 93,11,316 . The biggest common factor number is the GCF number.
So the greatest common factor 93,11,316 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 430/93, 206/11, 156/316

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 430/93, 206/11, 156/316?

Answer: LCM of Numerators as per given numbers 430/93, 206/11, 156/316 is

LCM of Numerators i.e. for 430,206,156 is 3454620

GCF of denominators i.e. for 93,11,316 is 1.

Thus, LCM of Fractions is 3454620.Finally, LCM of Fractions for 430/93, 206/11, 156/316 is 3454620.