Least Common Multiple of 70/545, 48/201, 944/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/545, 48/201, 944/900 quickly i.e. 99120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/545, 48/201, 944/900 is 99120.

LCM(70/545, 48/201, 944/900) = 99120

LCM of 70/545, 48/201, 944/900

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 70/545,48/201,944/900

Given numbers are 70/545,48/201,944/900

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 70,48,944

Least Common Multiple of Numerators i.e. LCM of 70,48,944 is 99120.

GCF of Denominators means GCF of 545,201,900 as per the given fractions.

GCF of 545,201,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,48,944

LCM of Fractions 70/545,48/201,944/900 is 99120

2 70, 48, 944
2 35, 24, 472
2 35, 12, 236
2 35, 6, 118
35, 3, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 35 x 3 x 59 = 99120

Least Common Multiple of 70,48,944 with GCF Formula

Least Common Multiple of 70,48,944 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 70,48,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,48,944) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(70,48,944) x common factors =2 x 16 = 32

LCM(70,48,944) = ( 70 × 48 × 944 ) / 32

LCM(70,48,944) = 3171840 / 32

LCM(70,48,944) = 99120


Lets's calculate GCF of 545,201,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99120/1

Therefore the LCM of Fractions 70/545,48/201,944/900 is 99120

Greatest Common Factor of 545,201,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,201,900 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 545,201,900 . The biggest common factor number is the GCF number.
So the greatest common factor 545,201,900 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 70/545, 48/201, 944/900

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 70/545, 48/201, 944/900?

Answer: LCM of Numerators as per given numbers 70/545, 48/201, 944/900 is

LCM of Numerators i.e. for 70,48,944 is 99120

GCF of denominators i.e. for 545,201,900 is 1.

Thus, LCM of Fractions is 99120.Finally, LCM of Fractions for 70/545, 48/201, 944/900 is 99120.