Least Common Multiple of 109/236, 896/782, 458/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/236, 896/782, 458/622 quickly i.e. 11182528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/236, 896/782, 458/622 is 11182528.

LCM(109/236, 896/782, 458/622) = 11182528

LCM of 109/236, 896/782, 458/622

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 109/236,896/782,458/622

Given numbers are 109/236,896/782,458/622

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 109,896,458

Least Common Multiple of Numerators i.e. LCM of 109,896,458 is 22365056.

GCF of Denominators means GCF of 236,782,622 as per the given fractions.

GCF of 236,782,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,896,458

LCM of Fractions 109/236,896/782,458/622 is 11182528

2 109, 896, 458
109, 448, 229

∴ So the LCM of the given numbers is 2 x 109 x 448 x 229 = 22365056

Least Common Multiple of 109,896,458 with GCF Formula

Least Common Multiple of 109,896,458 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 109,896,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,896,458) = 1

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

GCF(109,896,458) x common factors =1 x 2 = 2

LCM(109,896,458) = ( 109 × 896 × 458 ) / 2

LCM(109,896,458) = 44730112 / 2

LCM(109,896,458) = 22365056


Lets's calculate GCF of 236,782,622

2 236, 782, 622
118, 391, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22365056/2

Therefore the LCM of Fractions 109/236,896/782,458/622 is 11182528

Greatest Common Factor of 236,782,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,782,622 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 236,782,622 . The biggest common factor number is the GCF number.
So the greatest common factor 236,782,622 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 109/236, 896/782, 458/622

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 109/236, 896/782, 458/622?

Answer: LCM of Numerators as per given numbers 109/236, 896/782, 458/622 is

LCM of Numerators i.e. for 109,896,458 is 22365056

GCF of denominators i.e. for 236,782,622 is 2.

Thus, LCM of Fractions is 11182528.Finally, LCM of Fractions for 109/236, 896/782, 458/622 is 11182528.