Least Common Multiple of 6240/379, 6685/4142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6240/379, 6685/4142 quickly i.e. 8342880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6240/379, 6685/4142 is 8342880.

LCM(6240/379, 6685/4142) = 8342880

LCM of 6240/379, 6685/4142

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 6240/379,6685/4142

Given numbers are 6240/379,6685/4142

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 6240,6685

Least Common Multiple of Numerators i.e. LCM of 6240,6685 is 8342880.

GCF of Denominators means GCF of 379,4142 as per the given fractions.

GCF of 379,4142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6240,6685

LCM of Fractions 6240/379,6685/4142 is 8342880

5 6240, 6685
1248, 1337

∴ So the LCM of the given numbers is 5 x 1248 x 1337 = 8342880

Least Common Multiple of 6240,6685 with GCF Formula

Least Common Multiple of 6240,6685 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 6240,6685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6240,6685) = 5

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

GCF(6240,6685) x common factors =5 x 1 = 5

LCM(6240,6685) = ( 6240 × 6685 ) / 5

LCM(6240,6685) = 41714400 / 5

LCM(6240,6685) = 8342880


Lets's calculate GCF of 379,4142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8342880/1

Therefore the LCM of Fractions 6240/379,6685/4142 is 8342880

Greatest Common Factor of 379,4142 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,4142 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1,2,19,38,109,218,2071,4142

Greatest Common Factor

We found the factors 379,4142 . The biggest common factor number is the GCF number.
So the greatest common factor 379,4142 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6240/379, 6685/4142

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 6240/379, 6685/4142?

Answer: LCM of Numerators as per given numbers 6240/379, 6685/4142 is

LCM of Numerators i.e. for 6240,6685 is 8342880

GCF of denominators i.e. for 379,4142 is 1.

Thus, LCM of Fractions is 8342880.Finally, LCM of Fractions for 6240/379, 6685/4142 is 8342880.