Least Common Multiple of 888/69, 6076/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/69, 6076/696 quickly i.e. 449624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/69, 6076/696 is 449624.

LCM(888/69, 6076/696) = 449624

LCM of 888/69, 6076/696

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 888/69,6076/696

Given numbers are 888/69,6076/696

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 888,6076

Least Common Multiple of Numerators i.e. LCM of 888,6076 is 1348872.

GCF of Denominators means GCF of 69,696 as per the given fractions.

GCF of 69,696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,6076

LCM of Fractions 888/69,6076/696 is 449624

2 888, 6076
2 444, 3038
222, 1519

∴ So the LCM of the given numbers is 2 x 2 x 222 x 1519 = 1348872

Least Common Multiple of 888,6076 with GCF Formula

Least Common Multiple of 888,6076 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 888,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,6076) = 4

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

GCF(888,6076) x common factors =4 x 1 = 4

LCM(888,6076) = ( 888 × 6076 ) / 4

LCM(888,6076) = 5395488 / 4

LCM(888,6076) = 1348872


Lets's calculate GCF of 69,696

3 69, 696
23, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1348872/3

Therefore the LCM of Fractions 888/69,6076/696 is 449624

Greatest Common Factor of 69,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,696 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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 69,696 . The biggest common factor number is the GCF number.
So the greatest common factor 69,696 is 3.


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Frequently Asked Questions on Fractional LCM of 888/69, 6076/696

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 888/69, 6076/696?

Answer: LCM of Numerators as per given numbers 888/69, 6076/696 is

LCM of Numerators i.e. for 888,6076 is 1348872

GCF of denominators i.e. for 69,696 is 3.

Thus, LCM of Fractions is 449624.Finally, LCM of Fractions for 888/69, 6076/696 is 449624.