Least Common Multiple of 970/74, 855/68, 588/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/74, 855/68, 588/448 quickly i.e. 8127630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/74, 855/68, 588/448 is 8127630.

LCM(970/74, 855/68, 588/448) = 8127630

LCM of 970/74, 855/68, 588/448

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 970/74,855/68,588/448

Given numbers are 970/74,855/68,588/448

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 970,855,588

Least Common Multiple of Numerators i.e. LCM of 970,855,588 is 16255260.

GCF of Denominators means GCF of 74,68,448 as per the given fractions.

GCF of 74,68,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,855,588

LCM of Fractions 970/74,855/68,588/448 is 8127630

2 970, 855, 588
3 485, 855, 294
5 485, 285, 98
97, 57, 98

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 57 x 98 = 16255260

Least Common Multiple of 970,855,588 with GCF Formula

Least Common Multiple of 970,855,588 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 970,855,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,855,588) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(970,855,588) x common factors =1 x 30 = 30

LCM(970,855,588) = ( 970 × 855 × 588 ) / 30

LCM(970,855,588) = 487657800 / 30

LCM(970,855,588) = 16255260


Lets's calculate GCF of 74,68,448

2 74, 68, 448
37, 34, 224

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16255260/2

Therefore the LCM of Fractions 970/74,855/68,588/448 is 8127630

Greatest Common Factor of 74,68,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,68,448 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 74,68,448 . The biggest common factor number is the GCF number.
So the greatest common factor 74,68,448 is 2.


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 970/74, 855/68, 588/448

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 970/74, 855/68, 588/448?

Answer: LCM of Numerators as per given numbers 970/74, 855/68, 588/448 is

LCM of Numerators i.e. for 970,855,588 is 16255260

GCF of denominators i.e. for 74,68,448 is 2.

Thus, LCM of Fractions is 8127630.Finally, LCM of Fractions for 970/74, 855/68, 588/448 is 8127630.