Least Common Multiple of 6248/714, 7177/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6248/714, 7177/692 quickly i.e. 22420948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6248/714, 7177/692 is 22420948.

LCM(6248/714, 7177/692) = 22420948

LCM of 6248/714, 7177/692

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 6248/714,7177/692

Given numbers are 6248/714,7177/692

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 6248,7177

Least Common Multiple of Numerators i.e. LCM of 6248,7177 is 44841896.

GCF of Denominators means GCF of 714,692 as per the given fractions.

GCF of 714,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6248,7177

LCM of Fractions 6248/714,7177/692 is 22420948

Given numbers has no common factors except 1. So, there LCM is their product i.e 44841896

Least Common Multiple of 6248,7177 with GCF Formula

Least Common Multiple of 6248,7177 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 6248,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6248,7177) = 1

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

GCF(6248,7177) x common factors =1 x 1 = 1

LCM(6248,7177) = ( 6248 × 7177 ) / 1

LCM(6248,7177) = 44841896 / 1

LCM(6248,7177) = 44841896


Lets's calculate GCF of 714,692

2 714, 692
357, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44841896/2

Therefore the LCM of Fractions 6248/714,7177/692 is 22420948

Greatest Common Factor of 714,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,692 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 714,692 . The biggest common factor number is the GCF number.
So the greatest common factor 714,692 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6248/714, 7177/692

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 6248/714, 7177/692?

Answer: LCM of Numerators as per given numbers 6248/714, 7177/692 is

LCM of Numerators i.e. for 6248,7177 is 44841896

GCF of denominators i.e. for 714,692 is 2.

Thus, LCM of Fractions is 22420948.Finally, LCM of Fractions for 6248/714, 7177/692 is 22420948.