Least Common Multiple of 7/856, 41/776, 26/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/856, 41/776, 26/238 quickly i.e. 3731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/856, 41/776, 26/238 is 3731.

LCM(7/856, 41/776, 26/238) = 3731

LCM of 7/856, 41/776, 26/238

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 7/856,41/776,26/238

Given numbers are 7/856,41/776,26/238

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 7,41,26

Least Common Multiple of Numerators i.e. LCM of 7,41,26 is 7462.

GCF of Denominators means GCF of 856,776,238 as per the given fractions.

GCF of 856,776,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,41,26

LCM of Fractions 7/856,41/776,26/238 is 3731

Given numbers has no common factors except 1. So, there LCM is their product i.e 7462

Least Common Multiple of 7,41,26 with GCF Formula

Least Common Multiple of 7,41,26 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 7,41,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,41,26) = 1

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

GCF(7,41,26) x common factors =1 x 1 = 1

LCM(7,41,26) = ( 7 × 41 × 26 ) / 1

LCM(7,41,26) = 7462 / 1

LCM(7,41,26) = 7462


Lets's calculate GCF of 856,776,238

2 856, 776, 238
428, 388, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7462/2

Therefore the LCM of Fractions 7/856,41/776,26/238 is 3731

Greatest Common Factor of 856,776,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,776,238 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 856,776,238 . The biggest common factor number is the GCF number.
So the greatest common factor 856,776,238 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7/856, 41/776, 26/238

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 7/856, 41/776, 26/238?

Answer: LCM of Numerators as per given numbers 7/856, 41/776, 26/238 is

LCM of Numerators i.e. for 7,41,26 is 7462

GCF of denominators i.e. for 856,776,238 is 2.

Thus, LCM of Fractions is 3731.Finally, LCM of Fractions for 7/856, 41/776, 26/238 is 3731.