Least Common Multiple of 964/92, 122/52, 589/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/92, 122/52, 589/974 quickly i.e. 17317778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/92, 122/52, 589/974 is 17317778.

LCM(964/92, 122/52, 589/974) = 17317778

LCM of 964/92, 122/52, 589/974

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 964/92,122/52,589/974

Given numbers are 964/92,122/52,589/974

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 964,122,589

Least Common Multiple of Numerators i.e. LCM of 964,122,589 is 34635556.

GCF of Denominators means GCF of 92,52,974 as per the given fractions.

GCF of 92,52,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,122,589

LCM of Fractions 964/92,122/52,589/974 is 17317778

2 964, 122, 589
482, 61, 589

∴ So the LCM of the given numbers is 2 x 482 x 61 x 589 = 34635556

Least Common Multiple of 964,122,589 with GCF Formula

Least Common Multiple of 964,122,589 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 964,122,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,122,589) = 1

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

GCF(964,122,589) x common factors =1 x 2 = 2

LCM(964,122,589) = ( 964 × 122 × 589 ) / 2

LCM(964,122,589) = 69271112 / 2

LCM(964,122,589) = 34635556


Lets's calculate GCF of 92,52,974

2 92, 52, 974
46, 26, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34635556/2

Therefore the LCM of Fractions 964/92,122/52,589/974 is 17317778

Greatest Common Factor of 92,52,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,52,974 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 974

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

1,2,487,974

Greatest Common Factor

We found the factors 92,52,974 . The biggest common factor number is the GCF number.
So the greatest common factor 92,52,974 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 964/92, 122/52, 589/974

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 964/92, 122/52, 589/974?

Answer: LCM of Numerators as per given numbers 964/92, 122/52, 589/974 is

LCM of Numerators i.e. for 964,122,589 is 34635556

GCF of denominators i.e. for 92,52,974 is 2.

Thus, LCM of Fractions is 17317778.Finally, LCM of Fractions for 964/92, 122/52, 589/974 is 17317778.