Least Common Multiple of 7708/428, 4460/3716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7708/428, 4460/3716 quickly i.e. 2148605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7708/428, 4460/3716 is 2148605.

LCM(7708/428, 4460/3716) = 2148605

LCM of 7708/428, 4460/3716

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 7708/428,4460/3716

Given numbers are 7708/428,4460/3716

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 7708,4460

Least Common Multiple of Numerators i.e. LCM of 7708,4460 is 8594420.

GCF of Denominators means GCF of 428,3716 as per the given fractions.

GCF of 428,3716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7708,4460

LCM of Fractions 7708/428,4460/3716 is 2148605

2 7708, 4460
2 3854, 2230
1927, 1115

∴ So the LCM of the given numbers is 2 x 2 x 1927 x 1115 = 8594420

Least Common Multiple of 7708,4460 with GCF Formula

Least Common Multiple of 7708,4460 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 7708,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7708,4460) = 4

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

GCF(7708,4460) x common factors =4 x 1 = 4

LCM(7708,4460) = ( 7708 × 4460 ) / 4

LCM(7708,4460) = 34377680 / 4

LCM(7708,4460) = 8594420


Lets's calculate GCF of 428,3716

2 428, 3716
2 214, 1858
107, 929

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8594420/4

Therefore the LCM of Fractions 7708/428,4460/3716 is 2148605

Greatest Common Factor of 428,3716 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,3716 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 3716

List of positive integer factors of 3716 that divides 3716 without a remainder.

1,2,4,929,1858,3716

Greatest Common Factor

We found the factors 428,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 428,3716 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7708/428, 4460/3716

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 7708/428, 4460/3716?

Answer: LCM of Numerators as per given numbers 7708/428, 4460/3716 is

LCM of Numerators i.e. for 7708,4460 is 8594420

GCF of denominators i.e. for 428,3716 is 4.

Thus, LCM of Fractions is 2148605.Finally, LCM of Fractions for 7708/428, 4460/3716 is 2148605.