Least Common Multiple of 670/68, 9291/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 670/68, 9291/546 quickly i.e. 3112485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/68, 9291/546 is 3112485.

LCM(670/68, 9291/546) = 3112485

LCM of 670/68, 9291/546

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 670/68,9291/546

Given numbers are 670/68,9291/546

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 670,9291

Least Common Multiple of Numerators i.e. LCM of 670,9291 is 6224970.

GCF of Denominators means GCF of 68,546 as per the given fractions.

GCF of 68,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,9291

LCM of Fractions 670/68,9291/546 is 3112485

Given numbers has no common factors except 1. So, there LCM is their product i.e 6224970

Least Common Multiple of 670,9291 with GCF Formula

Least Common Multiple of 670,9291 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 670,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,9291) = 1

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

GCF(670,9291) x common factors =1 x 1 = 1

LCM(670,9291) = ( 670 × 9291 ) / 1

LCM(670,9291) = 6224970 / 1

LCM(670,9291) = 6224970


Lets's calculate GCF of 68,546

2 68, 546
34, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6224970/2

Therefore the LCM of Fractions 670/68,9291/546 is 3112485

Greatest Common Factor of 68,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,546 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 68,546 . The biggest common factor number is the GCF number.
So the greatest common factor 68,546 is 2.


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Frequently Asked Questions on Fractional LCM of 670/68, 9291/546

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 670/68, 9291/546?

Answer: LCM of Numerators as per given numbers 670/68, 9291/546 is

LCM of Numerators i.e. for 670,9291 is 6224970

GCF of denominators i.e. for 68,546 is 2.

Thus, LCM of Fractions is 3112485.Finally, LCM of Fractions for 670/68, 9291/546 is 3112485.