Least Common Multiple of 29/95, 246/26, 870/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/95, 246/26, 870/237 quickly i.e. 35670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/95, 246/26, 870/237 is 35670.

LCM(29/95, 246/26, 870/237) = 35670

LCM of 29/95, 246/26, 870/237

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 29/95,246/26,870/237

Given numbers are 29/95,246/26,870/237

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 29,246,870

Least Common Multiple of Numerators i.e. LCM of 29,246,870 is 35670.

GCF of Denominators means GCF of 95,26,237 as per the given fractions.

GCF of 95,26,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,246,870

LCM of Fractions 29/95,246/26,870/237 is 35670

2 29, 246, 870
3 29, 123, 435
29 29, 41, 145
1, 41, 5

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 41 x 5 = 35670

Least Common Multiple of 29,246,870 with GCF Formula

Least Common Multiple of 29,246,870 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 29,246,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,246,870) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(29,246,870) x common factors =1 x 174 = 174

LCM(29,246,870) = ( 29 × 246 × 870 ) / 174

LCM(29,246,870) = 6206580 / 174

LCM(29,246,870) = 35670


Lets's calculate GCF of 95,26,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35670/1

Therefore the LCM of Fractions 29/95,246/26,870/237 is 35670

Greatest Common Factor of 95,26,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,26,237 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 95,26,237 . The biggest common factor number is the GCF number.
So the greatest common factor 95,26,237 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/95, 246/26, 870/237

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 29/95, 246/26, 870/237?

Answer: LCM of Numerators as per given numbers 29/95, 246/26, 870/237 is

LCM of Numerators i.e. for 29,246,870 is 35670

GCF of denominators i.e. for 95,26,237 is 1.

Thus, LCM of Fractions is 35670.Finally, LCM of Fractions for 29/95, 246/26, 870/237 is 35670.