Least Common Multiple of 94/16, 49/35, 914/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/16, 49/35, 914/162 quickly i.e. 2104942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/16, 49/35, 914/162 is 2104942.

LCM(94/16, 49/35, 914/162) = 2104942

LCM of 94/16, 49/35, 914/162

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 94/16,49/35,914/162

Given numbers are 94/16,49/35,914/162

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 94,49,914

Least Common Multiple of Numerators i.e. LCM of 94,49,914 is 2104942.

GCF of Denominators means GCF of 16,35,162 as per the given fractions.

GCF of 16,35,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,49,914

LCM of Fractions 94/16,49/35,914/162 is 2104942

2 94, 49, 914
47, 49, 457

∴ So the LCM of the given numbers is 2 x 47 x 49 x 457 = 2104942

Least Common Multiple of 94,49,914 with GCF Formula

Least Common Multiple of 94,49,914 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 94,49,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,49,914) = 1

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

GCF(94,49,914) x common factors =1 x 2 = 2

LCM(94,49,914) = ( 94 × 49 × 914 ) / 2

LCM(94,49,914) = 4209884 / 2

LCM(94,49,914) = 2104942


Lets's calculate GCF of 16,35,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2104942/1

Therefore the LCM of Fractions 94/16,49/35,914/162 is 2104942

Greatest Common Factor of 16,35,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,35,162 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 16,35,162 . The biggest common factor number is the GCF number.
So the greatest common factor 16,35,162 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 94/16, 49/35, 914/162

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 94/16, 49/35, 914/162?

Answer: LCM of Numerators as per given numbers 94/16, 49/35, 914/162 is

LCM of Numerators i.e. for 94,49,914 is 2104942

GCF of denominators i.e. for 16,35,162 is 1.

Thus, LCM of Fractions is 2104942.Finally, LCM of Fractions for 94/16, 49/35, 914/162 is 2104942.