Least Common Multiple of 70/850, 86/702, 190/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/850, 86/702, 190/902 quickly i.e. 28595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/850, 86/702, 190/902 is 28595.

LCM(70/850, 86/702, 190/902) = 28595

LCM of 70/850, 86/702, 190/902

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 70/850,86/702,190/902

Given numbers are 70/850,86/702,190/902

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 70,86,190

Least Common Multiple of Numerators i.e. LCM of 70,86,190 is 57190.

GCF of Denominators means GCF of 850,702,902 as per the given fractions.

GCF of 850,702,902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,86,190

LCM of Fractions 70/850,86/702,190/902 is 28595

2 70, 86, 190
5 35, 43, 95
7, 43, 19

∴ So the LCM of the given numbers is 2 x 5 x 7 x 43 x 19 = 57190

Least Common Multiple of 70,86,190 with GCF Formula

Least Common Multiple of 70,86,190 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 70,86,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,86,190) = 2

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

GCF(70,86,190) x common factors =2 x 10 = 20

LCM(70,86,190) = ( 70 × 86 × 190 ) / 20

LCM(70,86,190) = 1143800 / 20

LCM(70,86,190) = 57190


Lets's calculate GCF of 850,702,902

2 850, 702, 902
425, 351, 451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57190/2

Therefore the LCM of Fractions 70/850,86/702,190/902 is 28595

Greatest Common Factor of 850,702,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,702,902 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 850,702,902 . The biggest common factor number is the GCF number.
So the greatest common factor 850,702,902 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 70/850, 86/702, 190/902

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 70/850, 86/702, 190/902?

Answer: LCM of Numerators as per given numbers 70/850, 86/702, 190/902 is

LCM of Numerators i.e. for 70,86,190 is 57190

GCF of denominators i.e. for 850,702,902 is 2.

Thus, LCM of Fractions is 28595.Finally, LCM of Fractions for 70/850, 86/702, 190/902 is 28595.