Least Common Multiple of 102/310, 179/150, 478/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/310, 179/150, 478/784 quickly i.e. 2181831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/310, 179/150, 478/784 is 2181831.

LCM(102/310, 179/150, 478/784) = 2181831

LCM of 102/310, 179/150, 478/784

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 102/310,179/150,478/784

Given numbers are 102/310,179/150,478/784

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 102,179,478

Least Common Multiple of Numerators i.e. LCM of 102,179,478 is 4363662.

GCF of Denominators means GCF of 310,150,784 as per the given fractions.

GCF of 310,150,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,179,478

LCM of Fractions 102/310,179/150,478/784 is 2181831

2 102, 179, 478
51, 179, 239

∴ So the LCM of the given numbers is 2 x 51 x 179 x 239 = 4363662

Least Common Multiple of 102,179,478 with GCF Formula

Least Common Multiple of 102,179,478 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 102,179,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,179,478) = 1

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

GCF(102,179,478) x common factors =1 x 2 = 2

LCM(102,179,478) = ( 102 × 179 × 478 ) / 2

LCM(102,179,478) = 8727324 / 2

LCM(102,179,478) = 4363662


Lets's calculate GCF of 310,150,784

2 310, 150, 784
155, 75, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4363662/2

Therefore the LCM of Fractions 102/310,179/150,478/784 is 2181831

Greatest Common Factor of 310,150,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,150,784 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 310,150,784 . The biggest common factor number is the GCF number.
So the greatest common factor 310,150,784 is 2.


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 102/310, 179/150, 478/784

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 102/310, 179/150, 478/784?

Answer: LCM of Numerators as per given numbers 102/310, 179/150, 478/784 is

LCM of Numerators i.e. for 102,179,478 is 4363662

GCF of denominators i.e. for 310,150,784 is 2.

Thus, LCM of Fractions is 2181831.Finally, LCM of Fractions for 102/310, 179/150, 478/784 is 2181831.