Least Common Multiple of 7890/226, 7015/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7890/226, 7015/776 quickly i.e. 5534835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7890/226, 7015/776 is 5534835.

LCM(7890/226, 7015/776) = 5534835

LCM of 7890/226, 7015/776

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 7890/226,7015/776

Given numbers are 7890/226,7015/776

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 7890,7015

Least Common Multiple of Numerators i.e. LCM of 7890,7015 is 11069670.

GCF of Denominators means GCF of 226,776 as per the given fractions.

GCF of 226,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7890,7015

LCM of Fractions 7890/226,7015/776 is 5534835

5 7890, 7015
1578, 1403

∴ So the LCM of the given numbers is 5 x 1578 x 1403 = 11069670

Least Common Multiple of 7890,7015 with GCF Formula

Least Common Multiple of 7890,7015 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 7890,7015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7890,7015) = 5

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

GCF(7890,7015) x common factors =5 x 1 = 5

LCM(7890,7015) = ( 7890 × 7015 ) / 5

LCM(7890,7015) = 55348350 / 5

LCM(7890,7015) = 11069670


Lets's calculate GCF of 226,776

2 226, 776
113, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11069670/2

Therefore the LCM of Fractions 7890/226,7015/776 is 5534835

Greatest Common Factor of 226,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,776 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 226,776 . The biggest common factor number is the GCF number.
So the greatest common factor 226,776 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7890/226, 7015/776

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 7890/226, 7015/776?

Answer: LCM of Numerators as per given numbers 7890/226, 7015/776 is

LCM of Numerators i.e. for 7890,7015 is 11069670

GCF of denominators i.e. for 226,776 is 2.

Thus, LCM of Fractions is 5534835.Finally, LCM of Fractions for 7890/226, 7015/776 is 5534835.