Least Common Multiple of 99/26, 49/94, 37/46, 94/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/26, 49/94, 37/46, 94/210 quickly i.e. 8435889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/26, 49/94, 37/46, 94/210 is 8435889.

LCM(99/26, 49/94, 37/46, 94/210) = 8435889

LCM of 99/26, 49/94, 37/46, 94/210

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 99/26,49/94,37/46,94/210

Given numbers are 99/26,49/94,37/46,94/210

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 99,49,37,94

Least Common Multiple of Numerators i.e. LCM of 99,49,37,94 is 16871778.

GCF of Denominators means GCF of 26,94,46,210 as per the given fractions.

GCF of 26,94,46,210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,49,37,94

LCM of Fractions 99/26,49/94,37/46,94/210 is 8435889

Given numbers has no common factors except 1. So, there LCM is their product i.e 16871778

Least Common Multiple of 99,49,37,94 with GCF Formula

Least Common Multiple of 99,49,37,94 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 99,49,37,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,49,37,94) = 1

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

GCF(99,49,37,94) x common factors =1 x 1 = 1

LCM(99,49,37,94) = ( 99 × 49 × 37 × 94 ) / 1

LCM(99,49,37,94) = 16871778 / 1

LCM(99,49,37,94) = 16871778


Lets's calculate GCF of 26,94,46,210

2 26, 94, 46, 210
13, 47, 23, 105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16871778/2

Therefore the LCM of Fractions 99/26,49/94,37/46,94/210 is 8435889

Greatest Common Factor of 26,94,46,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,94,46,210 By Matching Biggest Common Factor Method

Factors of 26

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

1,2,13,26

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 26,94,46,210 . The biggest common factor number is the GCF number.
So the greatest common factor 26,94,46,210 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 99/26, 49/94, 37/46, 94/210

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 99/26, 49/94, 37/46, 94/210?

Answer: LCM of Numerators as per given numbers 99/26, 49/94, 37/46, 94/210 is

LCM of Numerators i.e. for 99,49,37,94 is 16871778

GCF of denominators i.e. for 26,94,46,210 is 2.

Thus, LCM of Fractions is 8435889.Finally, LCM of Fractions for 99/26, 49/94, 37/46, 94/210 is 8435889.