Least Common Multiple of 997/756, 7828/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 997/756, 7828/216 quickly i.e. 7804516/108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/756, 7828/216 is 7804516/108.

LCM(997/756, 7828/216) = 7804516/108

LCM of 997/756, 7828/216

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 997/756,7828/216

Given numbers are 997/756,7828/216

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 997,7828

Least Common Multiple of Numerators i.e. LCM of 997,7828 is 7804516.

GCF of Denominators means GCF of 756,216 as per the given fractions.

GCF of 756,216 is 108 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,7828

LCM of Fractions 997/756,7828/216 is 7804516/108

Given numbers has no common factors except 1. So, there LCM is their product i.e 7804516

Least Common Multiple of 997,7828 with GCF Formula

Least Common Multiple of 997,7828 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 997,7828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,7828) = 1

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

GCF(997,7828) x common factors =1 x 1 = 1

LCM(997,7828) = ( 997 × 7828 ) / 1

LCM(997,7828) = 7804516 / 1

LCM(997,7828) = 7804516


Lets's calculate GCF of 756,216

2 756, 216
2 378, 108
3 189, 54
3 63, 18
3 21, 6
7, 2

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7804516/108

Therefore the LCM of Fractions 997/756,7828/216 is 7804516/108

Greatest Common Factor of 756,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,216 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 756,216 . The biggest common factor number is the GCF number.
So the greatest common factor 756,216 is 108.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 997/756, 7828/216

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 997/756, 7828/216?

Answer: LCM of Numerators as per given numbers 997/756, 7828/216 is

LCM of Numerators i.e. for 997,7828 is 7804516

GCF of denominators i.e. for 756,216 is 108.

Thus, LCM of Fractions is 7804516/108.Finally, LCM of Fractions for 997/756, 7828/216 is 7804516/108.