Least Common Multiple of 10/702, 845/364, 795/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/702, 845/364, 795/273 quickly i.e. 20670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/702, 845/364, 795/273 is 20670.

LCM(10/702, 845/364, 795/273) = 20670

LCM of 10/702, 845/364, 795/273

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 10/702,845/364,795/273

Given numbers are 10/702,845/364,795/273

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 10,845,795

Least Common Multiple of Numerators i.e. LCM of 10,845,795 is 268710.

GCF of Denominators means GCF of 702,364,273 as per the given fractions.

GCF of 702,364,273 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,845,795

LCM of Fractions 10/702,845/364,795/273 is 20670

5 10, 845, 795
2, 169, 159

∴ So the LCM of the given numbers is 5 x 2 x 169 x 159 = 268710

Least Common Multiple of 10,845,795 with GCF Formula

Least Common Multiple of 10,845,795 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 10,845,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,845,795) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(10,845,795) x common factors =5 x 5 = 25

LCM(10,845,795) = ( 10 × 845 × 795 ) / 25

LCM(10,845,795) = 6717750 / 25

LCM(10,845,795) = 268710


Lets's calculate GCF of 702,364,273

13 702, 364, 273
54, 28, 21

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268710/13

Therefore the LCM of Fractions 10/702,845/364,795/273 is 20670

Greatest Common Factor of 702,364,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,364,273 By Matching Biggest Common Factor Method

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 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 702,364,273 . The biggest common factor number is the GCF number.
So the greatest common factor 702,364,273 is 13.


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 10/702, 845/364, 795/273

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 10/702, 845/364, 795/273?

Answer: LCM of Numerators as per given numbers 10/702, 845/364, 795/273 is

LCM of Numerators i.e. for 10,845,795 is 268710

GCF of denominators i.e. for 702,364,273 is 13.

Thus, LCM of Fractions is 20670.Finally, LCM of Fractions for 10/702, 845/364, 795/273 is 20670.