Least Common Multiple of 120/44, 527/92, 811/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/44, 527/92, 811/614 quickly i.e. 25643820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/44, 527/92, 811/614 is 25643820.

LCM(120/44, 527/92, 811/614) = 25643820

LCM of 120/44, 527/92, 811/614

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 120/44,527/92,811/614

Given numbers are 120/44,527/92,811/614

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 120,527,811

Least Common Multiple of Numerators i.e. LCM of 120,527,811 is 51287640.

GCF of Denominators means GCF of 44,92,614 as per the given fractions.

GCF of 44,92,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,527,811

LCM of Fractions 120/44,527/92,811/614 is 25643820

Given numbers has no common factors except 1. So, there LCM is their product i.e 51287640

Least Common Multiple of 120,527,811 with GCF Formula

Least Common Multiple of 120,527,811 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 120,527,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,527,811) = 1

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

GCF(120,527,811) x common factors =1 x 1 = 1

LCM(120,527,811) = ( 120 × 527 × 811 ) / 1

LCM(120,527,811) = 51287640 / 1

LCM(120,527,811) = 51287640


Lets's calculate GCF of 44,92,614

2 44, 92, 614
22, 46, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51287640/2

Therefore the LCM of Fractions 120/44,527/92,811/614 is 25643820

Greatest Common Factor of 44,92,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,92,614 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 44,92,614 . The biggest common factor number is the GCF number.
So the greatest common factor 44,92,614 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 120/44, 527/92, 811/614

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 120/44, 527/92, 811/614?

Answer: LCM of Numerators as per given numbers 120/44, 527/92, 811/614 is

LCM of Numerators i.e. for 120,527,811 is 51287640

GCF of denominators i.e. for 44,92,614 is 2.

Thus, LCM of Fractions is 25643820.Finally, LCM of Fractions for 120/44, 527/92, 811/614 is 25643820.