Least Common Multiple of 7506/67, 2767/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7506/67, 2767/546 quickly i.e. 20769102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7506/67, 2767/546 is 20769102.

LCM(7506/67, 2767/546) = 20769102

LCM of 7506/67, 2767/546

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 7506/67,2767/546

Given numbers are 7506/67,2767/546

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 7506,2767

Least Common Multiple of Numerators i.e. LCM of 7506,2767 is 20769102.

GCF of Denominators means GCF of 67,546 as per the given fractions.

GCF of 67,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7506,2767

LCM of Fractions 7506/67,2767/546 is 20769102

Given numbers has no common factors except 1. So, there LCM is their product i.e 20769102

Least Common Multiple of 7506,2767 with GCF Formula

Least Common Multiple of 7506,2767 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 7506,2767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7506,2767) = 1

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

GCF(7506,2767) x common factors =1 x 1 = 1

LCM(7506,2767) = ( 7506 × 2767 ) / 1

LCM(7506,2767) = 20769102 / 1

LCM(7506,2767) = 20769102


Lets's calculate GCF of 67,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20769102/1

Therefore the LCM of Fractions 7506/67,2767/546 is 20769102

Greatest Common Factor of 67,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,546 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 67,546 . The biggest common factor number is the GCF number.
So the greatest common factor 67,546 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7506/67, 2767/546

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 7506/67, 2767/546?

Answer: LCM of Numerators as per given numbers 7506/67, 2767/546 is

LCM of Numerators i.e. for 7506,2767 is 20769102

GCF of denominators i.e. for 67,546 is 1.

Thus, LCM of Fractions is 20769102.Finally, LCM of Fractions for 7506/67, 2767/546 is 20769102.