Least Common Multiple of 226/68, 700/6136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 226/68, 700/6136 quickly i.e. 19775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/68, 700/6136 is 19775.

LCM(226/68, 700/6136) = 19775

LCM of 226/68, 700/6136

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 226/68,700/6136

Given numbers are 226/68,700/6136

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 226,700

Least Common Multiple of Numerators i.e. LCM of 226,700 is 79100.

GCF of Denominators means GCF of 68,6136 as per the given fractions.

GCF of 68,6136 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,700

LCM of Fractions 226/68,700/6136 is 19775

2 226, 700
113, 350

∴ So the LCM of the given numbers is 2 x 113 x 350 = 79100

Least Common Multiple of 226,700 with GCF Formula

Least Common Multiple of 226,700 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 226,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,700) = 2

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

GCF(226,700) x common factors =2 x 1 = 2

LCM(226,700) = ( 226 × 700 ) / 2

LCM(226,700) = 158200 / 2

LCM(226,700) = 79100


Lets's calculate GCF of 68,6136

2 68, 6136
2 34, 3068
17, 1534

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79100/4

Therefore the LCM of Fractions 226/68,700/6136 is 19775

Greatest Common Factor of 68,6136 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,6136 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136

Greatest Common Factor

We found the factors 68,6136 . The biggest common factor number is the GCF number.
So the greatest common factor 68,6136 is 4.


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 226/68, 700/6136

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 226/68, 700/6136?

Answer: LCM of Numerators as per given numbers 226/68, 700/6136 is

LCM of Numerators i.e. for 226,700 is 79100

GCF of denominators i.e. for 68,6136 is 4.

Thus, LCM of Fractions is 19775.Finally, LCM of Fractions for 226/68, 700/6136 is 19775.