Least Common Multiple of 125/84, 820/44, 946/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 125/84, 820/44, 946/466 quickly i.e. 4848250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 125/84, 820/44, 946/466 is 4848250.

LCM(125/84, 820/44, 946/466) = 4848250

LCM of 125/84, 820/44, 946/466

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 125/84,820/44,946/466

Given numbers are 125/84,820/44,946/466

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 125,820,946

Least Common Multiple of Numerators i.e. LCM of 125,820,946 is 9696500.

GCF of Denominators means GCF of 84,44,466 as per the given fractions.

GCF of 84,44,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 125,820,946

LCM of Fractions 125/84,820/44,946/466 is 4848250

2 125, 820, 946
5 125, 410, 473
25, 82, 473

∴ So the LCM of the given numbers is 2 x 5 x 25 x 82 x 473 = 9696500

Least Common Multiple of 125,820,946 with GCF Formula

Least Common Multiple of 125,820,946 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 125,820,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,820,946) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(125,820,946) x common factors =1 x 10 = 10

LCM(125,820,946) = ( 125 × 820 × 946 ) / 10

LCM(125,820,946) = 96965000 / 10

LCM(125,820,946) = 9696500


Lets's calculate GCF of 84,44,466

2 84, 44, 466
42, 22, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9696500/2

Therefore the LCM of Fractions 125/84,820/44,946/466 is 4848250

Greatest Common Factor of 84,44,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,44,466 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 84,44,466 . The biggest common factor number is the GCF number.
So the greatest common factor 84,44,466 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 125/84, 820/44, 946/466

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 125/84, 820/44, 946/466?

Answer: LCM of Numerators as per given numbers 125/84, 820/44, 946/466 is

LCM of Numerators i.e. for 125,820,946 is 9696500

GCF of denominators i.e. for 84,44,466 is 2.

Thus, LCM of Fractions is 4848250.Finally, LCM of Fractions for 125/84, 820/44, 946/466 is 4848250.