Least Common Multiple of 71/58, 64/50, 896/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/58, 64/50, 896/126 quickly i.e. 31808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/58, 64/50, 896/126 is 31808.

LCM(71/58, 64/50, 896/126) = 31808

LCM of 71/58, 64/50, 896/126

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 71/58,64/50,896/126

Given numbers are 71/58,64/50,896/126

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 71,64,896

Least Common Multiple of Numerators i.e. LCM of 71,64,896 is 63616.

GCF of Denominators means GCF of 58,50,126 as per the given fractions.

GCF of 58,50,126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,64,896

LCM of Fractions 71/58,64/50,896/126 is 31808

2 71, 64, 896
2 71, 32, 448
2 71, 16, 224
2 71, 8, 112
2 71, 4, 56
2 71, 2, 28
71, 1, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 71 x 1 x 14 = 63616

Least Common Multiple of 71,64,896 with GCF Formula

Least Common Multiple of 71,64,896 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 71,64,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,64,896) = 1

common factors(in case of two or more numbers have common factors) = 64

GCF(71,64,896) x common factors =1 x 64 = 64

LCM(71,64,896) = ( 71 × 64 × 896 ) / 64

LCM(71,64,896) = 4071424 / 64

LCM(71,64,896) = 63616


Lets's calculate GCF of 58,50,126

2 58, 50, 126
29, 25, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63616/2

Therefore the LCM of Fractions 71/58,64/50,896/126 is 31808

Greatest Common Factor of 58,50,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,50,126 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 58,50,126 . The biggest common factor number is the GCF number.
So the greatest common factor 58,50,126 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 71/58, 64/50, 896/126

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 71/58, 64/50, 896/126?

Answer: LCM of Numerators as per given numbers 71/58, 64/50, 896/126 is

LCM of Numerators i.e. for 71,64,896 is 63616

GCF of denominators i.e. for 58,50,126 is 2.

Thus, LCM of Fractions is 31808.Finally, LCM of Fractions for 71/58, 64/50, 896/126 is 31808.