Least Common Multiple of 4970/55, 5662/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4970/55, 5662/961 quickly i.e. 14070070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4970/55, 5662/961 is 14070070.

LCM(4970/55, 5662/961) = 14070070

LCM of 4970/55, 5662/961

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 4970/55,5662/961

Given numbers are 4970/55,5662/961

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 4970,5662

Least Common Multiple of Numerators i.e. LCM of 4970,5662 is 14070070.

GCF of Denominators means GCF of 55,961 as per the given fractions.

GCF of 55,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4970,5662

LCM of Fractions 4970/55,5662/961 is 14070070

2 4970, 5662
2485, 2831

∴ So the LCM of the given numbers is 2 x 2485 x 2831 = 14070070

Least Common Multiple of 4970,5662 with GCF Formula

Least Common Multiple of 4970,5662 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 4970,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4970,5662) = 2

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

GCF(4970,5662) x common factors =2 x 1 = 2

LCM(4970,5662) = ( 4970 × 5662 ) / 2

LCM(4970,5662) = 28140140 / 2

LCM(4970,5662) = 14070070


Lets's calculate GCF of 55,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14070070/1

Therefore the LCM of Fractions 4970/55,5662/961 is 14070070

Greatest Common Factor of 55,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,961 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 55,961 . The biggest common factor number is the GCF number.
So the greatest common factor 55,961 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4970/55, 5662/961

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 4970/55, 5662/961?

Answer: LCM of Numerators as per given numbers 4970/55, 5662/961 is

LCM of Numerators i.e. for 4970,5662 is 14070070

GCF of denominators i.e. for 55,961 is 1.

Thus, LCM of Fractions is 14070070.Finally, LCM of Fractions for 4970/55, 5662/961 is 14070070.