Least Common Multiple of 55/70, 65/15, 53/37, 48/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/70, 65/15, 53/37, 48/923 quickly i.e. 1818960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/70, 65/15, 53/37, 48/923 is 1818960.

LCM(55/70, 65/15, 53/37, 48/923) = 1818960

LCM of 55/70, 65/15, 53/37, 48/923

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 55/70,65/15,53/37,48/923

Given numbers are 55/70,65/15,53/37,48/923

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 55,65,53,48

Least Common Multiple of Numerators i.e. LCM of 55,65,53,48 is 1818960.

GCF of Denominators means GCF of 70,15,37,923 as per the given fractions.

GCF of 70,15,37,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,65,53,48

LCM of Fractions 55/70,65/15,53/37,48/923 is 1818960

5 55, 65, 53, 48
11, 13, 53, 48

∴ So the LCM of the given numbers is 5 x 11 x 13 x 53 x 48 = 1818960

Least Common Multiple of 55,65,53,48 with GCF Formula

Least Common Multiple of 55,65,53,48 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 55,65,53,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,65,53,48) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,65,53,48) x common factors =1 x 5 = 5

LCM(55,65,53,48) = ( 55 × 65 × 53 × 48 ) / 5

LCM(55,65,53,48) = 9094800 / 5

LCM(55,65,53,48) = 1818960


Lets's calculate GCF of 70,15,37,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1818960/1

Therefore the LCM of Fractions 55/70,65/15,53/37,48/923 is 1818960

Greatest Common Factor of 70,15,37,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,15,37,923 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 70,15,37,923 . The biggest common factor number is the GCF number.
So the greatest common factor 70,15,37,923 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/70, 65/15, 53/37, 48/923

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 55/70, 65/15, 53/37, 48/923?

Answer: LCM of Numerators as per given numbers 55/70, 65/15, 53/37, 48/923 is

LCM of Numerators i.e. for 55,65,53,48 is 1818960

GCF of denominators i.e. for 70,15,37,923 is 1.

Thus, LCM of Fractions is 1818960.Finally, LCM of Fractions for 55/70, 65/15, 53/37, 48/923 is 1818960.