Least Common Multiple of 55/943, 36/537, 416/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/943, 36/537, 416/115 quickly i.e. 205920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/943, 36/537, 416/115 is 205920.

LCM(55/943, 36/537, 416/115) = 205920

LCM of 55/943, 36/537, 416/115

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 55/943,36/537,416/115

Given numbers are 55/943,36/537,416/115

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 55,36,416

Least Common Multiple of Numerators i.e. LCM of 55,36,416 is 205920.

GCF of Denominators means GCF of 943,537,115 as per the given fractions.

GCF of 943,537,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,36,416

LCM of Fractions 55/943,36/537,416/115 is 205920

2 55, 36, 416
2 55, 18, 208
55, 9, 104

∴ So the LCM of the given numbers is 2 x 2 x 55 x 9 x 104 = 205920

Least Common Multiple of 55,36,416 with GCF Formula

Least Common Multiple of 55,36,416 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 55,36,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,36,416) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(55,36,416) x common factors =1 x 4 = 4

LCM(55,36,416) = ( 55 × 36 × 416 ) / 4

LCM(55,36,416) = 823680 / 4

LCM(55,36,416) = 205920


Lets's calculate GCF of 943,537,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205920/1

Therefore the LCM of Fractions 55/943,36/537,416/115 is 205920

Greatest Common Factor of 943,537,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,537,115 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 943,537,115 . The biggest common factor number is the GCF number.
So the greatest common factor 943,537,115 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 55/943, 36/537, 416/115

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 55/943, 36/537, 416/115?

Answer: LCM of Numerators as per given numbers 55/943, 36/537, 416/115 is

LCM of Numerators i.e. for 55,36,416 is 205920

GCF of denominators i.e. for 943,537,115 is 1.

Thus, LCM of Fractions is 205920.Finally, LCM of Fractions for 55/943, 36/537, 416/115 is 205920.