Least Common Multiple of 100/140, 6776/6526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/140, 6776/6526 quickly i.e. 84700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/140, 6776/6526 is 84700.

LCM(100/140, 6776/6526) = 84700

LCM of 100/140, 6776/6526

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 100/140,6776/6526

Given numbers are 100/140,6776/6526

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 100,6776

Least Common Multiple of Numerators i.e. LCM of 100,6776 is 169400.

GCF of Denominators means GCF of 140,6526 as per the given fractions.

GCF of 140,6526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,6776

LCM of Fractions 100/140,6776/6526 is 84700

2 100, 6776
2 50, 3388
25, 1694

∴ So the LCM of the given numbers is 2 x 2 x 25 x 1694 = 169400

Least Common Multiple of 100,6776 with GCF Formula

Least Common Multiple of 100,6776 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 100,6776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6776) = 4

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

GCF(100,6776) x common factors =4 x 1 = 4

LCM(100,6776) = ( 100 × 6776 ) / 4

LCM(100,6776) = 677600 / 4

LCM(100,6776) = 169400


Lets's calculate GCF of 140,6526

2 140, 6526
70, 3263

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169400/2

Therefore the LCM of Fractions 100/140,6776/6526 is 84700

Greatest Common Factor of 140,6526 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,6526 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 6526

List of positive integer factors of 6526 that divides 6526 without a remainder.

1,2,13,26,251,502,3263,6526

Greatest Common Factor

We found the factors 140,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 140,6526 is 2.


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 100/140, 6776/6526

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 100/140, 6776/6526?

Answer: LCM of Numerators as per given numbers 100/140, 6776/6526 is

LCM of Numerators i.e. for 100,6776 is 169400

GCF of denominators i.e. for 140,6526 is 2.

Thus, LCM of Fractions is 84700.Finally, LCM of Fractions for 100/140, 6776/6526 is 84700.