Least Common Multiple of 143/417, 316/660, 400/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/417, 316/660, 400/851 quickly i.e. 4518800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/417, 316/660, 400/851 is 4518800.

LCM(143/417, 316/660, 400/851) = 4518800

LCM of 143/417, 316/660, 400/851

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 143/417,316/660,400/851

Given numbers are 143/417,316/660,400/851

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 143,316,400

Least Common Multiple of Numerators i.e. LCM of 143,316,400 is 4518800.

GCF of Denominators means GCF of 417,660,851 as per the given fractions.

GCF of 417,660,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,316,400

LCM of Fractions 143/417,316/660,400/851 is 4518800

2 143, 316, 400
2 143, 158, 200
143, 79, 100

∴ So the LCM of the given numbers is 2 x 2 x 143 x 79 x 100 = 4518800

Least Common Multiple of 143,316,400 with GCF Formula

Least Common Multiple of 143,316,400 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 143,316,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,316,400) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(143,316,400) x common factors =1 x 4 = 4

LCM(143,316,400) = ( 143 × 316 × 400 ) / 4

LCM(143,316,400) = 18075200 / 4

LCM(143,316,400) = 4518800


Lets's calculate GCF of 417,660,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4518800/1

Therefore the LCM of Fractions 143/417,316/660,400/851 is 4518800

Greatest Common Factor of 417,660,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,660,851 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 417,660,851 . The biggest common factor number is the GCF number.
So the greatest common factor 417,660,851 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 143/417, 316/660, 400/851

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 143/417, 316/660, 400/851?

Answer: LCM of Numerators as per given numbers 143/417, 316/660, 400/851 is

LCM of Numerators i.e. for 143,316,400 is 4518800

GCF of denominators i.e. for 417,660,851 is 1.

Thus, LCM of Fractions is 4518800.Finally, LCM of Fractions for 143/417, 316/660, 400/851 is 4518800.