Least Common Multiple of 168/64, 922/56, 142/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/64, 922/56, 142/247 quickly i.e. 5498808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/64, 922/56, 142/247 is 5498808.

LCM(168/64, 922/56, 142/247) = 5498808

LCM of 168/64, 922/56, 142/247

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 168/64,922/56,142/247

Given numbers are 168/64,922/56,142/247

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 168,922,142

Least Common Multiple of Numerators i.e. LCM of 168,922,142 is 5498808.

GCF of Denominators means GCF of 64,56,247 as per the given fractions.

GCF of 64,56,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,922,142

LCM of Fractions 168/64,922/56,142/247 is 5498808

2 168, 922, 142
84, 461, 71

∴ So the LCM of the given numbers is 2 x 84 x 461 x 71 = 5498808

Least Common Multiple of 168,922,142 with GCF Formula

Least Common Multiple of 168,922,142 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 168,922,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,922,142) = 2

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

GCF(168,922,142) x common factors =2 x 2 = 4

LCM(168,922,142) = ( 168 × 922 × 142 ) / 4

LCM(168,922,142) = 21995232 / 4

LCM(168,922,142) = 5498808


Lets's calculate GCF of 64,56,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5498808/1

Therefore the LCM of Fractions 168/64,922/56,142/247 is 5498808

Greatest Common Factor of 64,56,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,56,247 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 64,56,247 . The biggest common factor number is the GCF number.
So the greatest common factor 64,56,247 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 168/64, 922/56, 142/247

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 168/64, 922/56, 142/247?

Answer: LCM of Numerators as per given numbers 168/64, 922/56, 142/247 is

LCM of Numerators i.e. for 168,922,142 is 5498808

GCF of denominators i.e. for 64,56,247 is 1.

Thus, LCM of Fractions is 5498808.Finally, LCM of Fractions for 168/64, 922/56, 142/247 is 5498808.