Least Common Multiple of 99/56, 67/68, 426/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/56, 67/68, 426/958 quickly i.e. 470943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/56, 67/68, 426/958 is 470943.

LCM(99/56, 67/68, 426/958) = 470943

LCM of 99/56, 67/68, 426/958

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 99/56,67/68,426/958

Given numbers are 99/56,67/68,426/958

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 99,67,426

Least Common Multiple of Numerators i.e. LCM of 99,67,426 is 941886.

GCF of Denominators means GCF of 56,68,958 as per the given fractions.

GCF of 56,68,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,67,426

LCM of Fractions 99/56,67/68,426/958 is 470943

3 99, 67, 426
33, 67, 142

∴ So the LCM of the given numbers is 3 x 33 x 67 x 142 = 941886

Least Common Multiple of 99,67,426 with GCF Formula

Least Common Multiple of 99,67,426 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 99,67,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,67,426) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,67,426) x common factors =1 x 3 = 3

LCM(99,67,426) = ( 99 × 67 × 426 ) / 3

LCM(99,67,426) = 2825658 / 3

LCM(99,67,426) = 941886


Lets's calculate GCF of 56,68,958

2 56, 68, 958
28, 34, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 941886/2

Therefore the LCM of Fractions 99/56,67/68,426/958 is 470943

Greatest Common Factor of 56,68,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,68,958 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 68

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

1,2,4,17,34,68

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 56,68,958 . The biggest common factor number is the GCF number.
So the greatest common factor 56,68,958 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 99/56, 67/68, 426/958

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 99/56, 67/68, 426/958?

Answer: LCM of Numerators as per given numbers 99/56, 67/68, 426/958 is

LCM of Numerators i.e. for 99,67,426 is 941886

GCF of denominators i.e. for 56,68,958 is 2.

Thus, LCM of Fractions is 470943.Finally, LCM of Fractions for 99/56, 67/68, 426/958 is 470943.