Least Common Multiple of 35/615, 958/890, 970/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/615, 958/890, 970/845 quickly i.e. 650482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/615, 958/890, 970/845 is 650482.

LCM(35/615, 958/890, 970/845) = 650482

LCM of 35/615, 958/890, 970/845

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 35/615,958/890,970/845

Given numbers are 35/615,958/890,970/845

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 35,958,970

Least Common Multiple of Numerators i.e. LCM of 35,958,970 is 3252410.

GCF of Denominators means GCF of 615,890,845 as per the given fractions.

GCF of 615,890,845 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,958,970

LCM of Fractions 35/615,958/890,970/845 is 650482

2 35, 958, 970
5 35, 479, 485
7, 479, 97

∴ So the LCM of the given numbers is 2 x 5 x 7 x 479 x 97 = 3252410

Least Common Multiple of 35,958,970 with GCF Formula

Least Common Multiple of 35,958,970 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 35,958,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,958,970) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(35,958,970) x common factors =1 x 10 = 10

LCM(35,958,970) = ( 35 × 958 × 970 ) / 10

LCM(35,958,970) = 32524100 / 10

LCM(35,958,970) = 3252410


Lets's calculate GCF of 615,890,845

5 615, 890, 845
123, 178, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3252410/5

Therefore the LCM of Fractions 35/615,958/890,970/845 is 650482

Greatest Common Factor of 615,890,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,890,845 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 615,890,845 . The biggest common factor number is the GCF number.
So the greatest common factor 615,890,845 is 5.


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 35/615, 958/890, 970/845

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 35/615, 958/890, 970/845?

Answer: LCM of Numerators as per given numbers 35/615, 958/890, 970/845 is

LCM of Numerators i.e. for 35,958,970 is 3252410

GCF of denominators i.e. for 615,890,845 is 5.

Thus, LCM of Fractions is 650482.Finally, LCM of Fractions for 35/615, 958/890, 970/845 is 650482.