Least Common Multiple of 5707/977, 2382/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5707/977, 2382/120 quickly i.e. 13594074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5707/977, 2382/120 is 13594074.

LCM(5707/977, 2382/120) = 13594074

LCM of 5707/977, 2382/120

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 5707/977,2382/120

Given numbers are 5707/977,2382/120

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 5707,2382

Least Common Multiple of Numerators i.e. LCM of 5707,2382 is 13594074.

GCF of Denominators means GCF of 977,120 as per the given fractions.

GCF of 977,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5707,2382

LCM of Fractions 5707/977,2382/120 is 13594074

Given numbers has no common factors except 1. So, there LCM is their product i.e 13594074

Least Common Multiple of 5707,2382 with GCF Formula

Least Common Multiple of 5707,2382 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 5707,2382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5707,2382) = 1

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

GCF(5707,2382) x common factors =1 x 1 = 1

LCM(5707,2382) = ( 5707 × 2382 ) / 1

LCM(5707,2382) = 13594074 / 1

LCM(5707,2382) = 13594074


Lets's calculate GCF of 977,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13594074/1

Therefore the LCM of Fractions 5707/977,2382/120 is 13594074

Greatest Common Factor of 977,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,120 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 977,120 . The biggest common factor number is the GCF number.
So the greatest common factor 977,120 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5707/977, 2382/120

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 5707/977, 2382/120?

Answer: LCM of Numerators as per given numbers 5707/977, 2382/120 is

LCM of Numerators i.e. for 5707,2382 is 13594074

GCF of denominators i.e. for 977,120 is 1.

Thus, LCM of Fractions is 13594074.Finally, LCM of Fractions for 5707/977, 2382/120 is 13594074.