Least Common Multiple of 6862/167, 5530/9658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6862/167, 5530/9658 quickly i.e. 18973430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6862/167, 5530/9658 is 18973430.

LCM(6862/167, 5530/9658) = 18973430

LCM of 6862/167, 5530/9658

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 6862/167,5530/9658

Given numbers are 6862/167,5530/9658

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 6862,5530

Least Common Multiple of Numerators i.e. LCM of 6862,5530 is 18973430.

GCF of Denominators means GCF of 167,9658 as per the given fractions.

GCF of 167,9658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6862,5530

LCM of Fractions 6862/167,5530/9658 is 18973430

2 6862, 5530
3431, 2765

∴ So the LCM of the given numbers is 2 x 3431 x 2765 = 18973430

Least Common Multiple of 6862,5530 with GCF Formula

Least Common Multiple of 6862,5530 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 6862,5530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6862,5530) = 2

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

GCF(6862,5530) x common factors =2 x 1 = 2

LCM(6862,5530) = ( 6862 × 5530 ) / 2

LCM(6862,5530) = 37946860 / 2

LCM(6862,5530) = 18973430


Lets's calculate GCF of 167,9658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18973430/1

Therefore the LCM of Fractions 6862/167,5530/9658 is 18973430

Greatest Common Factor of 167,9658 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,9658 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

Greatest Common Factor

We found the factors 167,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 167,9658 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6862/167, 5530/9658

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 6862/167, 5530/9658?

Answer: LCM of Numerators as per given numbers 6862/167, 5530/9658 is

LCM of Numerators i.e. for 6862,5530 is 18973430

GCF of denominators i.e. for 167,9658 is 1.

Thus, LCM of Fractions is 18973430.Finally, LCM of Fractions for 6862/167, 5530/9658 is 18973430.