Least Common Multiple of 45/967, 439/974, 320/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/967, 439/974, 320/958 quickly i.e. 1264320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/967, 439/974, 320/958 is 1264320.

LCM(45/967, 439/974, 320/958) = 1264320

LCM of 45/967, 439/974, 320/958

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 45/967,439/974,320/958

Given numbers are 45/967,439/974,320/958

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 45,439,320

Least Common Multiple of Numerators i.e. LCM of 45,439,320 is 1264320.

GCF of Denominators means GCF of 967,974,958 as per the given fractions.

GCF of 967,974,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,439,320

LCM of Fractions 45/967,439/974,320/958 is 1264320

5 45, 439, 320
9, 439, 64

∴ So the LCM of the given numbers is 5 x 9 x 439 x 64 = 1264320

Least Common Multiple of 45,439,320 with GCF Formula

Least Common Multiple of 45,439,320 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 45,439,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,439,320) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,439,320) x common factors =1 x 5 = 5

LCM(45,439,320) = ( 45 × 439 × 320 ) / 5

LCM(45,439,320) = 6321600 / 5

LCM(45,439,320) = 1264320


Lets's calculate GCF of 967,974,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1264320/1

Therefore the LCM of Fractions 45/967,439/974,320/958 is 1264320

Greatest Common Factor of 967,974,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,974,958 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

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 967,974,958 . The biggest common factor number is the GCF number.
So the greatest common factor 967,974,958 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 45/967, 439/974, 320/958

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 45/967, 439/974, 320/958?

Answer: LCM of Numerators as per given numbers 45/967, 439/974, 320/958 is

LCM of Numerators i.e. for 45,439,320 is 1264320

GCF of denominators i.e. for 967,974,958 is 1.

Thus, LCM of Fractions is 1264320.Finally, LCM of Fractions for 45/967, 439/974, 320/958 is 1264320.