Least Common Multiple of 34/426, 32/784, 979/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/426, 32/784, 979/986 quickly i.e. 266288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/426, 32/784, 979/986 is 266288.

LCM(34/426, 32/784, 979/986) = 266288

LCM of 34/426, 32/784, 979/986

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 34/426,32/784,979/986

Given numbers are 34/426,32/784,979/986

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 34,32,979

Least Common Multiple of Numerators i.e. LCM of 34,32,979 is 532576.

GCF of Denominators means GCF of 426,784,986 as per the given fractions.

GCF of 426,784,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,32,979

LCM of Fractions 34/426,32/784,979/986 is 266288

2 34, 32, 979
17, 16, 979

∴ So the LCM of the given numbers is 2 x 17 x 16 x 979 = 532576

Least Common Multiple of 34,32,979 with GCF Formula

Least Common Multiple of 34,32,979 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 34,32,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,32,979) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,32,979) x common factors =1 x 2 = 2

LCM(34,32,979) = ( 34 × 32 × 979 ) / 2

LCM(34,32,979) = 1065152 / 2

LCM(34,32,979) = 532576


Lets's calculate GCF of 426,784,986

2 426, 784, 986
213, 392, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 532576/2

Therefore the LCM of Fractions 34/426,32/784,979/986 is 266288

Greatest Common Factor of 426,784,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,784,986 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 426,784,986 . The biggest common factor number is the GCF number.
So the greatest common factor 426,784,986 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 34/426, 32/784, 979/986

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 34/426, 32/784, 979/986?

Answer: LCM of Numerators as per given numbers 34/426, 32/784, 979/986 is

LCM of Numerators i.e. for 34,32,979 is 532576

GCF of denominators i.e. for 426,784,986 is 2.

Thus, LCM of Fractions is 266288.Finally, LCM of Fractions for 34/426, 32/784, 979/986 is 266288.