Least Common Multiple of 505/54, 319/42, 701/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/54, 319/42, 701/955 quickly i.e. 112927595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/54, 319/42, 701/955 is 112927595.

LCM(505/54, 319/42, 701/955) = 112927595

LCM of 505/54, 319/42, 701/955

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 505/54,319/42,701/955

Given numbers are 505/54,319/42,701/955

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 505,319,701

Least Common Multiple of Numerators i.e. LCM of 505,319,701 is 112927595.

GCF of Denominators means GCF of 54,42,955 as per the given fractions.

GCF of 54,42,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,319,701

LCM of Fractions 505/54,319/42,701/955 is 112927595

Given numbers has no common factors except 1. So, there LCM is their product i.e 112927595

Least Common Multiple of 505,319,701 with GCF Formula

Least Common Multiple of 505,319,701 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 505,319,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,319,701) = 1

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

GCF(505,319,701) x common factors =1 x 1 = 1

LCM(505,319,701) = ( 505 × 319 × 701 ) / 1

LCM(505,319,701) = 112927595 / 1

LCM(505,319,701) = 112927595


Lets's calculate GCF of 54,42,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112927595/1

Therefore the LCM of Fractions 505/54,319/42,701/955 is 112927595

Greatest Common Factor of 54,42,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,42,955 By Matching Biggest Common Factor Method

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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 54,42,955 . The biggest common factor number is the GCF number.
So the greatest common factor 54,42,955 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 505/54, 319/42, 701/955

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 505/54, 319/42, 701/955?

Answer: LCM of Numerators as per given numbers 505/54, 319/42, 701/955 is

LCM of Numerators i.e. for 505,319,701 is 112927595

GCF of denominators i.e. for 54,42,955 is 1.

Thus, LCM of Fractions is 112927595.Finally, LCM of Fractions for 505/54, 319/42, 701/955 is 112927595.