Least Common Multiple of 98/69, 679/84, 877/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/69, 679/84, 877/867 quickly i.e. 8336762/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/69, 679/84, 877/867 is 8336762/3.

LCM(98/69, 679/84, 877/867) = 8336762/3

LCM of 98/69, 679/84, 877/867

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 98/69,679/84,877/867

Given numbers are 98/69,679/84,877/867

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 98,679,877

Least Common Multiple of Numerators i.e. LCM of 98,679,877 is 8336762.

GCF of Denominators means GCF of 69,84,867 as per the given fractions.

GCF of 69,84,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,679,877

LCM of Fractions 98/69,679/84,877/867 is 8336762/3

7 98, 679, 877
14, 97, 877

∴ So the LCM of the given numbers is 7 x 14 x 97 x 877 = 8336762

Least Common Multiple of 98,679,877 with GCF Formula

Least Common Multiple of 98,679,877 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 98,679,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,679,877) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(98,679,877) x common factors =1 x 7 = 7

LCM(98,679,877) = ( 98 × 679 × 877 ) / 7

LCM(98,679,877) = 58357334 / 7

LCM(98,679,877) = 8336762


Lets's calculate GCF of 69,84,867

3 69, 84, 867
23, 28, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8336762/3

Therefore the LCM of Fractions 98/69,679/84,877/867 is 8336762/3

Greatest Common Factor of 69,84,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,84,867 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 69,84,867 . The biggest common factor number is the GCF number.
So the greatest common factor 69,84,867 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/69, 679/84, 877/867

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 98/69, 679/84, 877/867?

Answer: LCM of Numerators as per given numbers 98/69, 679/84, 877/867 is

LCM of Numerators i.e. for 98,679,877 is 8336762

GCF of denominators i.e. for 69,84,867 is 3.

Thus, LCM of Fractions is 8336762/3.Finally, LCM of Fractions for 98/69, 679/84, 877/867 is 8336762/3.