Least Common Multiple of 55/830, 142/286, 904/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/830, 142/286, 904/245 quickly i.e. 3530120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/830, 142/286, 904/245 is 3530120.

LCM(55/830, 142/286, 904/245) = 3530120

LCM of 55/830, 142/286, 904/245

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 55/830,142/286,904/245

Given numbers are 55/830,142/286,904/245

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 55,142,904

Least Common Multiple of Numerators i.e. LCM of 55,142,904 is 3530120.

GCF of Denominators means GCF of 830,286,245 as per the given fractions.

GCF of 830,286,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,142,904

LCM of Fractions 55/830,142/286,904/245 is 3530120

2 55, 142, 904
55, 71, 452

∴ So the LCM of the given numbers is 2 x 55 x 71 x 452 = 3530120

Least Common Multiple of 55,142,904 with GCF Formula

Least Common Multiple of 55,142,904 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 55,142,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,142,904) = 1

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

GCF(55,142,904) x common factors =1 x 2 = 2

LCM(55,142,904) = ( 55 × 142 × 904 ) / 2

LCM(55,142,904) = 7060240 / 2

LCM(55,142,904) = 3530120


Lets's calculate GCF of 830,286,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3530120/1

Therefore the LCM of Fractions 55/830,142/286,904/245 is 3530120

Greatest Common Factor of 830,286,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,286,245 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 830,286,245 . The biggest common factor number is the GCF number.
So the greatest common factor 830,286,245 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 55/830, 142/286, 904/245

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 55/830, 142/286, 904/245?

Answer: LCM of Numerators as per given numbers 55/830, 142/286, 904/245 is

LCM of Numerators i.e. for 55,142,904 is 3530120

GCF of denominators i.e. for 830,286,245 is 1.

Thus, LCM of Fractions is 3530120.Finally, LCM of Fractions for 55/830, 142/286, 904/245 is 3530120.