Least Common Multiple of 67/747, 71/434, 878/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/747, 71/434, 878/958 quickly i.e. 4176646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/747, 71/434, 878/958 is 4176646.

LCM(67/747, 71/434, 878/958) = 4176646

LCM of 67/747, 71/434, 878/958

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 67/747,71/434,878/958

Given numbers are 67/747,71/434,878/958

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 67,71,878

Least Common Multiple of Numerators i.e. LCM of 67,71,878 is 4176646.

GCF of Denominators means GCF of 747,434,958 as per the given fractions.

GCF of 747,434,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,71,878

LCM of Fractions 67/747,71/434,878/958 is 4176646

Given numbers has no common factors except 1. So, there LCM is their product i.e 4176646

Least Common Multiple of 67,71,878 with GCF Formula

Least Common Multiple of 67,71,878 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 67,71,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,71,878) = 1

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

GCF(67,71,878) x common factors =1 x 1 = 1

LCM(67,71,878) = ( 67 × 71 × 878 ) / 1

LCM(67,71,878) = 4176646 / 1

LCM(67,71,878) = 4176646


Lets's calculate GCF of 747,434,958

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4176646/1

Therefore the LCM of Fractions 67/747,71/434,878/958 is 4176646

Greatest Common Factor of 747,434,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,434,958 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

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 747,434,958 . The biggest common factor number is the GCF number.
So the greatest common factor 747,434,958 is 1.


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 67/747, 71/434, 878/958

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 67/747, 71/434, 878/958?

Answer: LCM of Numerators as per given numbers 67/747, 71/434, 878/958 is

LCM of Numerators i.e. for 67,71,878 is 4176646

GCF of denominators i.e. for 747,434,958 is 1.

Thus, LCM of Fractions is 4176646.Finally, LCM of Fractions for 67/747, 71/434, 878/958 is 4176646.