Least Common Multiple of 70/902, 71/493, 661/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/902, 71/493, 661/643 quickly i.e. 3285170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/902, 71/493, 661/643 is 3285170.

LCM(70/902, 71/493, 661/643) = 3285170

LCM of 70/902, 71/493, 661/643

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 70/902,71/493,661/643

Given numbers are 70/902,71/493,661/643

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 70,71,661

Least Common Multiple of Numerators i.e. LCM of 70,71,661 is 3285170.

GCF of Denominators means GCF of 902,493,643 as per the given fractions.

GCF of 902,493,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,71,661

LCM of Fractions 70/902,71/493,661/643 is 3285170

Given numbers has no common factors except 1. So, there LCM is their product i.e 3285170

Least Common Multiple of 70,71,661 with GCF Formula

Least Common Multiple of 70,71,661 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 70,71,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,71,661) = 1

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

GCF(70,71,661) x common factors =1 x 1 = 1

LCM(70,71,661) = ( 70 × 71 × 661 ) / 1

LCM(70,71,661) = 3285170 / 1

LCM(70,71,661) = 3285170


Lets's calculate GCF of 902,493,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285170/1

Therefore the LCM of Fractions 70/902,71/493,661/643 is 3285170

Greatest Common Factor of 902,493,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,493,643 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 902,493,643 . The biggest common factor number is the GCF number.
So the greatest common factor 902,493,643 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 70/902, 71/493, 661/643

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 70/902, 71/493, 661/643?

Answer: LCM of Numerators as per given numbers 70/902, 71/493, 661/643 is

LCM of Numerators i.e. for 70,71,661 is 3285170

GCF of denominators i.e. for 902,493,643 is 1.

Thus, LCM of Fractions is 3285170.Finally, LCM of Fractions for 70/902, 71/493, 661/643 is 3285170.