Least Common Multiple of 55/22, 38/58, 37/49, 952/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/22, 38/58, 37/49, 952/95 quickly i.e. 36809080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/22, 38/58, 37/49, 952/95 is 36809080.

LCM(55/22, 38/58, 37/49, 952/95) = 36809080

LCM of 55/22, 38/58, 37/49, 952/95

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 55/22,38/58,37/49,952/95

Given numbers are 55/22,38/58,37/49,952/95

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 55,38,37,952

Least Common Multiple of Numerators i.e. LCM of 55,38,37,952 is 36809080.

GCF of Denominators means GCF of 22,58,49,95 as per the given fractions.

GCF of 22,58,49,95 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,38,37,952

LCM of Fractions 55/22,38/58,37/49,952/95 is 36809080

2 55, 38, 37, 952
55, 19, 37, 476

∴ So the LCM of the given numbers is 2 x 55 x 19 x 37 x 476 = 36809080

Least Common Multiple of 55,38,37,952 with GCF Formula

Least Common Multiple of 55,38,37,952 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 55,38,37,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,38,37,952) = 1

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

GCF(55,38,37,952) x common factors =1 x 2 = 2

LCM(55,38,37,952) = ( 55 × 38 × 37 × 952 ) / 2

LCM(55,38,37,952) = 73618160 / 2

LCM(55,38,37,952) = 36809080


Lets's calculate GCF of 22,58,49,95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36809080/1

Therefore the LCM of Fractions 55/22,38/58,37/49,952/95 is 36809080

Greatest Common Factor of 22,58,49,95 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,58,49,95 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors 22,58,49,95 . The biggest common factor number is the GCF number.
So the greatest common factor 22,58,49,95 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/22, 38/58, 37/49, 952/95

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 55/22, 38/58, 37/49, 952/95?

Answer: LCM of Numerators as per given numbers 55/22, 38/58, 37/49, 952/95 is

LCM of Numerators i.e. for 55,38,37,952 is 36809080

GCF of denominators i.e. for 22,58,49,95 is 1.

Thus, LCM of Fractions is 36809080.Finally, LCM of Fractions for 55/22, 38/58, 37/49, 952/95 is 36809080.