Least Common Multiple of 26/247, 620/653, 716/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/247, 620/653, 716/308 quickly i.e. 1442740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/247, 620/653, 716/308 is 1442740.

LCM(26/247, 620/653, 716/308) = 1442740

LCM of 26/247, 620/653, 716/308

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 26/247,620/653,716/308

Given numbers are 26/247,620/653,716/308

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 26,620,716

Least Common Multiple of Numerators i.e. LCM of 26,620,716 is 1442740.

GCF of Denominators means GCF of 247,653,308 as per the given fractions.

GCF of 247,653,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,620,716

LCM of Fractions 26/247,620/653,716/308 is 1442740

2 26, 620, 716
2 13, 310, 358
13, 155, 179

∴ So the LCM of the given numbers is 2 x 2 x 13 x 155 x 179 = 1442740

Least Common Multiple of 26,620,716 with GCF Formula

Least Common Multiple of 26,620,716 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 26,620,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,620,716) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(26,620,716) x common factors =2 x 4 = 8

LCM(26,620,716) = ( 26 × 620 × 716 ) / 8

LCM(26,620,716) = 11541920 / 8

LCM(26,620,716) = 1442740


Lets's calculate GCF of 247,653,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1442740/1

Therefore the LCM of Fractions 26/247,620/653,716/308 is 1442740

Greatest Common Factor of 247,653,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,653,308 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 247,653,308 . The biggest common factor number is the GCF number.
So the greatest common factor 247,653,308 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/247, 620/653, 716/308

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 26/247, 620/653, 716/308?

Answer: LCM of Numerators as per given numbers 26/247, 620/653, 716/308 is

LCM of Numerators i.e. for 26,620,716 is 1442740

GCF of denominators i.e. for 247,653,308 is 1.

Thus, LCM of Fractions is 1442740.Finally, LCM of Fractions for 26/247, 620/653, 716/308 is 1442740.