Least Common Multiple of 70/964, 533/655, 812/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/964, 533/655, 812/143 quickly i.e. 2163980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/964, 533/655, 812/143 is 2163980.

LCM(70/964, 533/655, 812/143) = 2163980

LCM of 70/964, 533/655, 812/143

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 70/964,533/655,812/143

Given numbers are 70/964,533/655,812/143

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 70,533,812

Least Common Multiple of Numerators i.e. LCM of 70,533,812 is 2163980.

GCF of Denominators means GCF of 964,655,143 as per the given fractions.

GCF of 964,655,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,533,812

LCM of Fractions 70/964,533/655,812/143 is 2163980

2 70, 533, 812
7 35, 533, 406
5, 533, 58

∴ So the LCM of the given numbers is 2 x 7 x 5 x 533 x 58 = 2163980

Least Common Multiple of 70,533,812 with GCF Formula

Least Common Multiple of 70,533,812 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 70,533,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,533,812) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,533,812) x common factors =1 x 14 = 14

LCM(70,533,812) = ( 70 × 533 × 812 ) / 14

LCM(70,533,812) = 30295720 / 14

LCM(70,533,812) = 2163980


Lets's calculate GCF of 964,655,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2163980/1

Therefore the LCM of Fractions 70/964,533/655,812/143 is 2163980

Greatest Common Factor of 964,655,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,655,143 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 964,655,143 . The biggest common factor number is the GCF number.
So the greatest common factor 964,655,143 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 70/964, 533/655, 812/143

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 70/964, 533/655, 812/143?

Answer: LCM of Numerators as per given numbers 70/964, 533/655, 812/143 is

LCM of Numerators i.e. for 70,533,812 is 2163980

GCF of denominators i.e. for 964,655,143 is 1.

Thus, LCM of Fractions is 2163980.Finally, LCM of Fractions for 70/964, 533/655, 812/143 is 2163980.