Least Common Multiple of 55/292, 50/302, 474/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/292, 50/302, 474/954 quickly i.e. 65175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/292, 50/302, 474/954 is 65175.

LCM(55/292, 50/302, 474/954) = 65175

LCM of 55/292, 50/302, 474/954

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 55/292,50/302,474/954

Given numbers are 55/292,50/302,474/954

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 55,50,474

Least Common Multiple of Numerators i.e. LCM of 55,50,474 is 130350.

GCF of Denominators means GCF of 292,302,954 as per the given fractions.

GCF of 292,302,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,50,474

LCM of Fractions 55/292,50/302,474/954 is 65175

2 55, 50, 474
5 55, 25, 237
11, 5, 237

∴ So the LCM of the given numbers is 2 x 5 x 11 x 5 x 237 = 130350

Least Common Multiple of 55,50,474 with GCF Formula

Least Common Multiple of 55,50,474 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 55,50,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,50,474) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(55,50,474) x common factors =1 x 10 = 10

LCM(55,50,474) = ( 55 × 50 × 474 ) / 10

LCM(55,50,474) = 1303500 / 10

LCM(55,50,474) = 130350


Lets's calculate GCF of 292,302,954

2 292, 302, 954
146, 151, 477

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130350/2

Therefore the LCM of Fractions 55/292,50/302,474/954 is 65175

Greatest Common Factor of 292,302,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,302,954 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 292,302,954 . The biggest common factor number is the GCF number.
So the greatest common factor 292,302,954 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/292, 50/302, 474/954

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 55/292, 50/302, 474/954?

Answer: LCM of Numerators as per given numbers 55/292, 50/302, 474/954 is

LCM of Numerators i.e. for 55,50,474 is 130350

GCF of denominators i.e. for 292,302,954 is 2.

Thus, LCM of Fractions is 65175.Finally, LCM of Fractions for 55/292, 50/302, 474/954 is 65175.