Least Common Multiple of 55/32, 69/35, 61/54, 31/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/32, 69/35, 61/54, 31/948 quickly i.e. 7176345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/32, 69/35, 61/54, 31/948 is 7176345.

LCM(55/32, 69/35, 61/54, 31/948) = 7176345

LCM of 55/32, 69/35, 61/54, 31/948

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 55/32,69/35,61/54,31/948

Given numbers are 55/32,69/35,61/54,31/948

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 55,69,61,31

Least Common Multiple of Numerators i.e. LCM of 55,69,61,31 is 7176345.

GCF of Denominators means GCF of 32,35,54,948 as per the given fractions.

GCF of 32,35,54,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,69,61,31

LCM of Fractions 55/32,69/35,61/54,31/948 is 7176345

Given numbers has no common factors except 1. So, there LCM is their product i.e 7176345

Least Common Multiple of 55,69,61,31 with GCF Formula

Least Common Multiple of 55,69,61,31 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 55,69,61,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,69,61,31) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,69,61,31) x common factors =1 x 1 = 1

LCM(55,69,61,31) = ( 55 × 69 × 61 × 31 ) / 1

LCM(55,69,61,31) = 7176345 / 1

LCM(55,69,61,31) = 7176345


Lets's calculate GCF of 32,35,54,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7176345/1

Therefore the LCM of Fractions 55/32,69/35,61/54,31/948 is 7176345

Greatest Common Factor of 32,35,54,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,35,54,948 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 32,35,54,948 . The biggest common factor number is the GCF number.
So the greatest common factor 32,35,54,948 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 55/32, 69/35, 61/54, 31/948

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 55/32, 69/35, 61/54, 31/948?

Answer: LCM of Numerators as per given numbers 55/32, 69/35, 61/54, 31/948 is

LCM of Numerators i.e. for 55,69,61,31 is 7176345

GCF of denominators i.e. for 32,35,54,948 is 1.

Thus, LCM of Fractions is 7176345.Finally, LCM of Fractions for 55/32, 69/35, 61/54, 31/948 is 7176345.