Least Common Multiple of 76/369, 2700/7654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/369, 2700/7654 quickly i.e. 51300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/369, 2700/7654 is 51300.

LCM(76/369, 2700/7654) = 51300

LCM of 76/369, 2700/7654

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 76/369,2700/7654

Given numbers are 76/369,2700/7654

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 76,2700

Least Common Multiple of Numerators i.e. LCM of 76,2700 is 51300.

GCF of Denominators means GCF of 369,7654 as per the given fractions.

GCF of 369,7654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,2700

LCM of Fractions 76/369,2700/7654 is 51300

2 76, 2700
2 38, 1350
19, 675

∴ So the LCM of the given numbers is 2 x 2 x 19 x 675 = 51300

Least Common Multiple of 76,2700 with GCF Formula

Least Common Multiple of 76,2700 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 76,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,2700) = 4

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

GCF(76,2700) x common factors =4 x 1 = 4

LCM(76,2700) = ( 76 × 2700 ) / 4

LCM(76,2700) = 205200 / 4

LCM(76,2700) = 51300


Lets's calculate GCF of 369,7654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51300/1

Therefore the LCM of Fractions 76/369,2700/7654 is 51300

Greatest Common Factor of 369,7654 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,7654 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1,2,43,86,89,178,3827,7654

Greatest Common Factor

We found the factors 369,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 369,7654 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/369, 2700/7654

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 76/369, 2700/7654?

Answer: LCM of Numerators as per given numbers 76/369, 2700/7654 is

LCM of Numerators i.e. for 76,2700 is 51300

GCF of denominators i.e. for 369,7654 is 1.

Thus, LCM of Fractions is 51300.Finally, LCM of Fractions for 76/369, 2700/7654 is 51300.