Least Common Multiple of 946/32, 837/58, 875/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/32, 837/58, 875/142 quickly i.e. 346413375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/32, 837/58, 875/142 is 346413375.

LCM(946/32, 837/58, 875/142) = 346413375

LCM of 946/32, 837/58, 875/142

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 946/32,837/58,875/142

Given numbers are 946/32,837/58,875/142

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 946,837,875

Least Common Multiple of Numerators i.e. LCM of 946,837,875 is 692826750.

GCF of Denominators means GCF of 32,58,142 as per the given fractions.

GCF of 32,58,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,837,875

LCM of Fractions 946/32,837/58,875/142 is 346413375

Given numbers has no common factors except 1. So, there LCM is their product i.e 692826750

Least Common Multiple of 946,837,875 with GCF Formula

Least Common Multiple of 946,837,875 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 946,837,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,837,875) = 1

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

GCF(946,837,875) x common factors =1 x 1 = 1

LCM(946,837,875) = ( 946 × 837 × 875 ) / 1

LCM(946,837,875) = 692826750 / 1

LCM(946,837,875) = 692826750


Lets's calculate GCF of 32,58,142

2 32, 58, 142
16, 29, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692826750/2

Therefore the LCM of Fractions 946/32,837/58,875/142 is 346413375

Greatest Common Factor of 32,58,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,58,142 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 32,58,142 . The biggest common factor number is the GCF number.
So the greatest common factor 32,58,142 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 946/32, 837/58, 875/142

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 946/32, 837/58, 875/142?

Answer: LCM of Numerators as per given numbers 946/32, 837/58, 875/142 is

LCM of Numerators i.e. for 946,837,875 is 692826750

GCF of denominators i.e. for 32,58,142 is 2.

Thus, LCM of Fractions is 346413375.Finally, LCM of Fractions for 946/32, 837/58, 875/142 is 346413375.