Least Common Multiple of 158/67, 896/42, 248/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 158/67, 896/42, 248/291 quickly i.e. 2194304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 158/67, 896/42, 248/291 is 2194304.

LCM(158/67, 896/42, 248/291) = 2194304

LCM of 158/67, 896/42, 248/291

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 158/67,896/42,248/291

Given numbers are 158/67,896/42,248/291

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 158,896,248

Least Common Multiple of Numerators i.e. LCM of 158,896,248 is 2194304.

GCF of Denominators means GCF of 67,42,291 as per the given fractions.

GCF of 67,42,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 158,896,248

LCM of Fractions 158/67,896/42,248/291 is 2194304

2 158, 896, 248
2 79, 448, 124
2 79, 224, 62
79, 112, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 112 x 31 = 2194304

Least Common Multiple of 158,896,248 with GCF Formula

Least Common Multiple of 158,896,248 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 158,896,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,896,248) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(158,896,248) x common factors =2 x 8 = 16

LCM(158,896,248) = ( 158 × 896 × 248 ) / 16

LCM(158,896,248) = 35108864 / 16

LCM(158,896,248) = 2194304


Lets's calculate GCF of 67,42,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2194304/1

Therefore the LCM of Fractions 158/67,896/42,248/291 is 2194304

Greatest Common Factor of 67,42,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,42,291 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 67,42,291 . The biggest common factor number is the GCF number.
So the greatest common factor 67,42,291 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 158/67, 896/42, 248/291

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 158/67, 896/42, 248/291?

Answer: LCM of Numerators as per given numbers 158/67, 896/42, 248/291 is

LCM of Numerators i.e. for 158,896,248 is 2194304

GCF of denominators i.e. for 67,42,291 is 1.

Thus, LCM of Fractions is 2194304.Finally, LCM of Fractions for 158/67, 896/42, 248/291 is 2194304.