Least Common Multiple of 945/156, 3675/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/156, 3675/268 quickly i.e. 33075/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/156, 3675/268 is 33075/4.

LCM(945/156, 3675/268) = 33075/4

LCM of 945/156, 3675/268

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 945/156,3675/268

Given numbers are 945/156,3675/268

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 945,3675

Least Common Multiple of Numerators i.e. LCM of 945,3675 is 33075.

GCF of Denominators means GCF of 156,268 as per the given fractions.

GCF of 156,268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,3675

LCM of Fractions 945/156,3675/268 is 33075/4

3 945, 3675
5 315, 1225
7 63, 245
9, 35

∴ So the LCM of the given numbers is 3 x 5 x 7 x 9 x 35 = 33075

Least Common Multiple of 945,3675 with GCF Formula

Least Common Multiple of 945,3675 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 945,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,3675) = 105

common factors(in case of two or more numbers have common factors) = 1

GCF(945,3675) x common factors =105 x 1 = 105

LCM(945,3675) = ( 945 × 3675 ) / 105

LCM(945,3675) = 3472875 / 105

LCM(945,3675) = 33075


Lets's calculate GCF of 156,268

2 156, 268
2 78, 134
39, 67

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33075/4

Therefore the LCM of Fractions 945/156,3675/268 is 33075/4

Greatest Common Factor of 156,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,268 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 156,268 . The biggest common factor number is the GCF number.
So the greatest common factor 156,268 is 4.


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 945/156, 3675/268

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 945/156, 3675/268?

Answer: LCM of Numerators as per given numbers 945/156, 3675/268 is

LCM of Numerators i.e. for 945,3675 is 33075

GCF of denominators i.e. for 156,268 is 4.

Thus, LCM of Fractions is 33075/4.Finally, LCM of Fractions for 945/156, 3675/268 is 33075/4.