Least Common Multiple of 450/851, 3952/9730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/851, 3952/9730 quickly i.e. 889200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/851, 3952/9730 is 889200.

LCM(450/851, 3952/9730) = 889200

LCM of 450/851, 3952/9730

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 450/851,3952/9730

Given numbers are 450/851,3952/9730

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 450,3952

Least Common Multiple of Numerators i.e. LCM of 450,3952 is 889200.

GCF of Denominators means GCF of 851,9730 as per the given fractions.

GCF of 851,9730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,3952

LCM of Fractions 450/851,3952/9730 is 889200

2 450, 3952
225, 1976

∴ So the LCM of the given numbers is 2 x 225 x 1976 = 889200

Least Common Multiple of 450,3952 with GCF Formula

Least Common Multiple of 450,3952 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 450,3952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,3952) = 2

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

GCF(450,3952) x common factors =2 x 1 = 2

LCM(450,3952) = ( 450 × 3952 ) / 2

LCM(450,3952) = 1778400 / 2

LCM(450,3952) = 889200


Lets's calculate GCF of 851,9730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889200/1

Therefore the LCM of Fractions 450/851,3952/9730 is 889200

Greatest Common Factor of 851,9730 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,9730 By Matching Biggest Common Factor Method

Factors of 851

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

1,23,37,851

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Greatest Common Factor

We found the factors 851,9730 . The biggest common factor number is the GCF number.
So the greatest common factor 851,9730 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 450/851, 3952/9730

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 450/851, 3952/9730?

Answer: LCM of Numerators as per given numbers 450/851, 3952/9730 is

LCM of Numerators i.e. for 450,3952 is 889200

GCF of denominators i.e. for 851,9730 is 1.

Thus, LCM of Fractions is 889200.Finally, LCM of Fractions for 450/851, 3952/9730 is 889200.