Least Common Multiple of 902/624, 7552/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 902/624, 7552/388 quickly i.e. 851488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/624, 7552/388 is 851488.

LCM(902/624, 7552/388) = 851488

LCM of 902/624, 7552/388

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 902/624,7552/388

Given numbers are 902/624,7552/388

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 902,7552

Least Common Multiple of Numerators i.e. LCM of 902,7552 is 3405952.

GCF of Denominators means GCF of 624,388 as per the given fractions.

GCF of 624,388 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,7552

LCM of Fractions 902/624,7552/388 is 851488

2 902, 7552
451, 3776

∴ So the LCM of the given numbers is 2 x 451 x 3776 = 3405952

Least Common Multiple of 902,7552 with GCF Formula

Least Common Multiple of 902,7552 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 902,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,7552) = 2

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

GCF(902,7552) x common factors =2 x 1 = 2

LCM(902,7552) = ( 902 × 7552 ) / 2

LCM(902,7552) = 6811904 / 2

LCM(902,7552) = 3405952


Lets's calculate GCF of 624,388

2 624, 388
2 312, 194
156, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405952/4

Therefore the LCM of Fractions 902/624,7552/388 is 851488

Greatest Common Factor of 624,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,388 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 624,388 . The biggest common factor number is the GCF number.
So the greatest common factor 624,388 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 902/624, 7552/388

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 902/624, 7552/388?

Answer: LCM of Numerators as per given numbers 902/624, 7552/388 is

LCM of Numerators i.e. for 902,7552 is 3405952

GCF of denominators i.e. for 624,388 is 4.

Thus, LCM of Fractions is 851488.Finally, LCM of Fractions for 902/624, 7552/388 is 851488.