Least Common Multiple of 912/62, 766/69, 283/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 912/62, 766/69, 283/49 quickly i.e. 98850768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/62, 766/69, 283/49 is 98850768.

LCM(912/62, 766/69, 283/49) = 98850768

LCM of 912/62, 766/69, 283/49

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 912/62,766/69,283/49

Given numbers are 912/62,766/69,283/49

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 912,766,283

Least Common Multiple of Numerators i.e. LCM of 912,766,283 is 98850768.

GCF of Denominators means GCF of 62,69,49 as per the given fractions.

GCF of 62,69,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,766,283

LCM of Fractions 912/62,766/69,283/49 is 98850768

2 912, 766, 283
456, 383, 283

∴ So the LCM of the given numbers is 2 x 456 x 383 x 283 = 98850768

Least Common Multiple of 912,766,283 with GCF Formula

Least Common Multiple of 912,766,283 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 912,766,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,766,283) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(912,766,283) x common factors =1 x 2 = 2

LCM(912,766,283) = ( 912 × 766 × 283 ) / 2

LCM(912,766,283) = 197701536 / 2

LCM(912,766,283) = 98850768


Lets's calculate GCF of 62,69,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98850768/1

Therefore the LCM of Fractions 912/62,766/69,283/49 is 98850768

Greatest Common Factor of 62,69,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,69,49 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 69

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

1,3,23,69

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 62,69,49 . The biggest common factor number is the GCF number.
So the greatest common factor 62,69,49 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 912/62, 766/69, 283/49

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 912/62, 766/69, 283/49?

Answer: LCM of Numerators as per given numbers 912/62, 766/69, 283/49 is

LCM of Numerators i.e. for 912,766,283 is 98850768

GCF of denominators i.e. for 62,69,49 is 1.

Thus, LCM of Fractions is 98850768.Finally, LCM of Fractions for 912/62, 766/69, 283/49 is 98850768.