Least Common Multiple of 456/370, 423/336, 500/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/370, 423/336, 500/873 quickly i.e. 8037000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/370, 423/336, 500/873 is 8037000.

LCM(456/370, 423/336, 500/873) = 8037000

LCM of 456/370, 423/336, 500/873

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 456/370,423/336,500/873

Given numbers are 456/370,423/336,500/873

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 456,423,500

Least Common Multiple of Numerators i.e. LCM of 456,423,500 is 8037000.

GCF of Denominators means GCF of 370,336,873 as per the given fractions.

GCF of 370,336,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,423,500

LCM of Fractions 456/370,423/336,500/873 is 8037000

2 456, 423, 500
2 228, 423, 250
3 114, 423, 125
38, 141, 125

∴ So the LCM of the given numbers is 2 x 2 x 3 x 38 x 141 x 125 = 8037000

Least Common Multiple of 456,423,500 with GCF Formula

Least Common Multiple of 456,423,500 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 456,423,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,423,500) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(456,423,500) x common factors =1 x 12 = 12

LCM(456,423,500) = ( 456 × 423 × 500 ) / 12

LCM(456,423,500) = 96444000 / 12

LCM(456,423,500) = 8037000


Lets's calculate GCF of 370,336,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8037000/1

Therefore the LCM of Fractions 456/370,423/336,500/873 is 8037000

Greatest Common Factor of 370,336,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,336,873 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 370,336,873 . The biggest common factor number is the GCF number.
So the greatest common factor 370,336,873 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 456/370, 423/336, 500/873

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 456/370, 423/336, 500/873?

Answer: LCM of Numerators as per given numbers 456/370, 423/336, 500/873 is

LCM of Numerators i.e. for 456,423,500 is 8037000

GCF of denominators i.e. for 370,336,873 is 1.

Thus, LCM of Fractions is 8037000.Finally, LCM of Fractions for 456/370, 423/336, 500/873 is 8037000.