Least Common Multiple of 4/434, 55/228, 86/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4/434, 55/228, 86/126 quickly i.e. 4730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/434, 55/228, 86/126 is 4730.

LCM(4/434, 55/228, 86/126) = 4730

LCM of 4/434, 55/228, 86/126

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 4/434,55/228,86/126

Given numbers are 4/434,55/228,86/126

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 4,55,86

Least Common Multiple of Numerators i.e. LCM of 4,55,86 is 9460.

GCF of Denominators means GCF of 434,228,126 as per the given fractions.

GCF of 434,228,126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,55,86

LCM of Fractions 4/434,55/228,86/126 is 4730

2 4, 55, 86
2, 55, 43

∴ So the LCM of the given numbers is 2 x 2 x 55 x 43 = 9460

Least Common Multiple of 4,55,86 with GCF Formula

Least Common Multiple of 4,55,86 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 4,55,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,55,86) = 1

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

GCF(4,55,86) x common factors =1 x 2 = 2

LCM(4,55,86) = ( 4 × 55 × 86 ) / 2

LCM(4,55,86) = 18920 / 2

LCM(4,55,86) = 9460


Lets's calculate GCF of 434,228,126

2 434, 228, 126
217, 114, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9460/2

Therefore the LCM of Fractions 4/434,55/228,86/126 is 4730

Greatest Common Factor of 434,228,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,228,126 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 434,228,126 . The biggest common factor number is the GCF number.
So the greatest common factor 434,228,126 is 2.


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Frequently Asked Questions on Fractional LCM of 4/434, 55/228, 86/126

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 4/434, 55/228, 86/126?

Answer: LCM of Numerators as per given numbers 4/434, 55/228, 86/126 is

LCM of Numerators i.e. for 4,55,86 is 9460

GCF of denominators i.e. for 434,228,126 is 2.

Thus, LCM of Fractions is 4730.Finally, LCM of Fractions for 4/434, 55/228, 86/126 is 4730.