Least Common Multiple of 870/628, 573/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 870/628, 573/852 quickly i.e. 166170/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/628, 573/852 is 166170/4.

LCM(870/628, 573/852) = 166170/4

LCM of 870/628, 573/852

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 870/628,573/852

Given numbers are 870/628,573/852

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 870,573

Least Common Multiple of Numerators i.e. LCM of 870,573 is 166170.

GCF of Denominators means GCF of 628,852 as per the given fractions.

GCF of 628,852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,573

LCM of Fractions 870/628,573/852 is 166170/4

3 870, 573
290, 191

∴ So the LCM of the given numbers is 3 x 290 x 191 = 166170

Least Common Multiple of 870,573 with GCF Formula

Least Common Multiple of 870,573 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 870,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,573) = 3

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

GCF(870,573) x common factors =3 x 1 = 3

LCM(870,573) = ( 870 × 573 ) / 3

LCM(870,573) = 498510 / 3

LCM(870,573) = 166170


Lets's calculate GCF of 628,852

2 628, 852
2 314, 426
157, 213

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166170/4

Therefore the LCM of Fractions 870/628,573/852 is 166170/4

Greatest Common Factor of 628,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,852 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 628,852 . The biggest common factor number is the GCF number.
So the greatest common factor 628,852 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 870/628, 573/852

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 870/628, 573/852?

Answer: LCM of Numerators as per given numbers 870/628, 573/852 is

LCM of Numerators i.e. for 870,573 is 166170

GCF of denominators i.e. for 628,852 is 4.

Thus, LCM of Fractions is 166170/4.Finally, LCM of Fractions for 870/628, 573/852 is 166170/4.