Least Common Multiple of 60/70, 446/20, 609/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/70, 446/20, 609/545 quickly i.e. 543228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/70, 446/20, 609/545 is 543228.

LCM(60/70, 446/20, 609/545) = 543228

LCM of 60/70, 446/20, 609/545

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 60/70,446/20,609/545

Given numbers are 60/70,446/20,609/545

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 60,446,609

Least Common Multiple of Numerators i.e. LCM of 60,446,609 is 2716140.

GCF of Denominators means GCF of 70,20,545 as per the given fractions.

GCF of 70,20,545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,446,609

LCM of Fractions 60/70,446/20,609/545 is 543228

2 60, 446, 609
3 30, 223, 609
10, 223, 203

∴ So the LCM of the given numbers is 2 x 3 x 10 x 223 x 203 = 2716140

Least Common Multiple of 60,446,609 with GCF Formula

Least Common Multiple of 60,446,609 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 60,446,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,446,609) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,446,609) x common factors =1 x 6 = 6

LCM(60,446,609) = ( 60 × 446 × 609 ) / 6

LCM(60,446,609) = 16296840 / 6

LCM(60,446,609) = 2716140


Lets's calculate GCF of 70,20,545

5 70, 20, 545
14, 4, 109

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2716140/5

Therefore the LCM of Fractions 60/70,446/20,609/545 is 543228

Greatest Common Factor of 70,20,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,20,545 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 545

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

1,5,109,545

Greatest Common Factor

We found the factors 70,20,545 . The biggest common factor number is the GCF number.
So the greatest common factor 70,20,545 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/70, 446/20, 609/545

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 60/70, 446/20, 609/545?

Answer: LCM of Numerators as per given numbers 60/70, 446/20, 609/545 is

LCM of Numerators i.e. for 60,446,609 is 2716140

GCF of denominators i.e. for 70,20,545 is 5.

Thus, LCM of Fractions is 543228.Finally, LCM of Fractions for 60/70, 446/20, 609/545 is 543228.