Least Common Multiple of 5970/901, 4070/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5970/901, 4070/822 quickly i.e. 2429790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5970/901, 4070/822 is 2429790.

LCM(5970/901, 4070/822) = 2429790

LCM of 5970/901, 4070/822

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 5970/901,4070/822

Given numbers are 5970/901,4070/822

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 5970,4070

Least Common Multiple of Numerators i.e. LCM of 5970,4070 is 2429790.

GCF of Denominators means GCF of 901,822 as per the given fractions.

GCF of 901,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5970,4070

LCM of Fractions 5970/901,4070/822 is 2429790

2 5970, 4070
5 2985, 2035
597, 407

∴ So the LCM of the given numbers is 2 x 5 x 597 x 407 = 2429790

Least Common Multiple of 5970,4070 with GCF Formula

Least Common Multiple of 5970,4070 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 5970,4070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5970,4070) = 10

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

GCF(5970,4070) x common factors =10 x 1 = 10

LCM(5970,4070) = ( 5970 × 4070 ) / 10

LCM(5970,4070) = 24297900 / 10

LCM(5970,4070) = 2429790


Lets's calculate GCF of 901,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2429790/1

Therefore the LCM of Fractions 5970/901,4070/822 is 2429790

Greatest Common Factor of 901,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,822 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 901,822 . The biggest common factor number is the GCF number.
So the greatest common factor 901,822 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5970/901, 4070/822

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 5970/901, 4070/822?

Answer: LCM of Numerators as per given numbers 5970/901, 4070/822 is

LCM of Numerators i.e. for 5970,4070 is 2429790

GCF of denominators i.e. for 901,822 is 1.

Thus, LCM of Fractions is 2429790.Finally, LCM of Fractions for 5970/901, 4070/822 is 2429790.