Least Common Multiple of 70/530, 957/334, 945/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/530, 957/334, 945/330 quickly i.e. 301455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/530, 957/334, 945/330 is 301455.

LCM(70/530, 957/334, 945/330) = 301455

LCM of 70/530, 957/334, 945/330

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 70/530,957/334,945/330

Given numbers are 70/530,957/334,945/330

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 70,957,945

Least Common Multiple of Numerators i.e. LCM of 70,957,945 is 602910.

GCF of Denominators means GCF of 530,334,330 as per the given fractions.

GCF of 530,334,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,957,945

LCM of Fractions 70/530,957/334,945/330 is 301455

3 70, 957, 945
5 70, 319, 315
7 14, 319, 63
2, 319, 9

∴ So the LCM of the given numbers is 3 x 5 x 7 x 2 x 319 x 9 = 602910

Least Common Multiple of 70,957,945 with GCF Formula

Least Common Multiple of 70,957,945 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 70,957,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,957,945) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(70,957,945) x common factors =1 x 105 = 105

LCM(70,957,945) = ( 70 × 957 × 945 ) / 105

LCM(70,957,945) = 63305550 / 105

LCM(70,957,945) = 602910


Lets's calculate GCF of 530,334,330

2 530, 334, 330
265, 167, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602910/2

Therefore the LCM of Fractions 70/530,957/334,945/330 is 301455

Greatest Common Factor of 530,334,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,334,330 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 530,334,330 . The biggest common factor number is the GCF number.
So the greatest common factor 530,334,330 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 70/530, 957/334, 945/330

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 70/530, 957/334, 945/330?

Answer: LCM of Numerators as per given numbers 70/530, 957/334, 945/330 is

LCM of Numerators i.e. for 70,957,945 is 602910

GCF of denominators i.e. for 530,334,330 is 2.

Thus, LCM of Fractions is 301455.Finally, LCM of Fractions for 70/530, 957/334, 945/330 is 301455.